Answers
The time required to grow $5000 to $8300, if the rate of interest is 7.5 %, is 7 years.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
The principal amount, p = $5000,
The amount, A = $8300
The rate of interest, r = 7.5 %,
Calculate the time as shown below,
\(A = p(1 + r / 400)^{4n}\)
8300 = 5000 (1 + 7.5 / 400)⁴ⁿ
8300 / 5000 = (1 + 0.01875)⁴ⁿ
1.66 = (1.0188)⁴ⁿ
1.66 = (1.077)ⁿ
(1.077)⁷ = (1.077)ⁿ
n = 7
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Related Questions
Find the distance between the points (1,8) and (7, 16).
Answers
Answer:
d=10
Step-by-step explanation:
Use the distance formula.
\(\sqrt{(x2-x1)^2+(y2-y1)^2}\\\\\sqrt{(7-1)^2+(16-8)^2} \\\\\sqrt{(6)^2+(8)^2} \\\\\sqrt{36+64} \\\\\sqrt{100} \\\\d= 10\)
The locations, given in polar coordinates, for two ships are (8 mi, 63°) and (8 mi, 123°). Find the distance between the two ships.
Answers
Answer:
It can therefore be noted that all angles are equal and thus the resulting triangle is actual an equilateral triangle and thus all the sides are equal. It can be concluded that the ships are 8 miles apart.
An army camp had a food provision of 35 days for 800 soldiers on the first day of the month. On
the same day, some of the soldiers were transferred to another camp. The food provision lasted for
50 days for the remaining soldiers. How many soldiers were transferred to the other camp?
(Assume that each soldier consumes equal quantity of food per day.)
Answers
240 soldiers were transferred to the other camp. Let's assume the number of soldiers transferred to the other camp is "x." we can solve for the unknown variable representing the number of soldiers transferred.
Initially, the food provision was planned for 800 soldiers for 35 days. This means that the total food supply is equal to 800 soldiers multiplied by 35 days, which gives us a total of 28,000 soldier-days of food.
After some soldiers were transferred, the remaining soldiers had enough food to last for 50 days. So the food supply for the remaining soldiers can be calculated as the product of the number of remaining soldiers and the number of days, which gives us (800 - x) * 50 soldier-days of food.
Since the amount of food remains the same, we can set up the following equation:
\(28,000 = (800 - x) * 50\)
Now, let's solve this equation to find the value of x, representing the number of soldiers transferred to the other camp:
\(28,000 = 50 * 800 - 50x28,000 = 40,000 - 50x50x = 40,000 - 28,00050x = 12,000x = 12,000 / 50x = 240\)
By setting up the equation based on the total food supply for the initial and remaining soldiers, we can solve for the unknown variable representing the number of soldiers transferred. In this case, 240 soldiers were transferred to the other camp.
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and drop each item into the correct column. Order does not matter:
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(1, 5); (4, 7) - corresponding, (3, 5) - Alternate Interior, (2, 7); (1, 8) - Exterior
(3, 6) are Consecutive Interior Angles.
Line of transversal:
Any line that crosses two straight lines at different locations is known as a transversal.
Corresponding Angles:
When two parallel lines cross the third one, the angles that are in the same relative position at each junction are referred to as corresponding angles to one another
Alternate Interior Angles:
The alternative interior angles are those that are on the inner side of the parallel lines but on the opposing sides of the transversal.
Alternate Exterior Angles:
Alternate external angles are positioned on the opposing sides of the transversal and are always outside the two lines where the transversal intersects.
Consecutive Interior Angles:
The pair of non-adjacent internal angles that are located on the same side of the transversal are referred to as consecutive interior angles.
Here we have
Two parallel lines intersected and formed the angles, ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, and ∠8.
By the given information,
∠1 and ∠ 5 are corresponding angles
∠4 and ∠ 7 are corresponding angles
∠3 and ∠5 are Alternate Interior Angles
∠2, and ∠7 are Alternate Exterior angles
∠1 and ∠ 8 are Alternative Exterior angles
∠3 and ∠ 6 are Consecutive Interior Angles
Therefore,
(1, 5); (4, 7) - corresponding, (3, 5) - Alternate Interior, (2, 7); (1, 8) - Exterior
(3, 6) are Consecutive Interior Angles.
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Please can I have help with these questions
Answers
What is the area of the garden
Answers
Answer:
C) 1022 1/4 square feet
Step-by-step explanation:
2L+2W=134 (perimeter)
23.5*2+2L=134
L=(134-47)/2
L=87/2=43.5 feet
A=L*W
A=(43.5)*(23.5) ft squared
A=1022.25 square feet
Find x of angle. 74° 74° 3x + 23 9x - 73
Answers
Answer: 169
Step-by-step explanation: 3x + 23 9x - 73= 242-73= 169
A number is chosen at random from 1 to 10. Find the probability of selecting a 9 or smaller.
Answers
Answer:
9/10 chance or 0.9
Step-by-step explanation:
very likely to happen since you would have a slim chance of picking 1
#13 solve a and b separately, note any restrictions to the derivative
Answers
Given:
\(y=\frac{x^2-a^2}{x-a}\)To find:
The derivative.
Explanation:
a) Using the quotient rule,
\(\begin{gathered} y^{\prime}=\frac{(x-a)\frac{d}{dx}(x^2-a^2)-(x^2-a^2)\frac{d}{dx}(x-a)}{(x-a)^2} \\ =\frac{(x-a)(2x)-(x^2-a^2)}{(x-a)^2} \\ =\frac{(x-a)(2x)-(x-a)(x+a)}{(x-a)^2}\text{ \lbrack Since, }x^2-a^2=(x+a)(x-a)] \\ =\frac{(x-a)[2x-(x+a)]}{(x-a)^2} \\ =\frac{(x-a)(x-a)}{(x-a)^2} \\ y^{\prime}=1 \end{gathered}\)b)
By expanding the product and simplifying the quotient, we get
\(\begin{gathered} y=\frac{x^2-a^2}{x-a} \\ =\frac{(x+a)(x-a)}{(x-a)} \\ y=x+a \end{gathered}\)Differentiating with respect to x we get,
\(y^{\prime}=1\)The part (a) answer and the part (b) answer are the same.
Hence verified.
Final answer:
The derivative for the given problem is 1.
What is 1/3 time's 12 pls help me.
Answers
Answer:
4
Step-by-step explanation:
1/3 x 12= 4
I need this answer as fast as you can and explain simple
Answers
Answer:
A
Step-by-step explanation:
(b-3)(b-3) would equal (b^2–6b+9), when using the foil method.
Martha Stewart has developed a new perfume. She decides to test its side effects by spraying the perfume in 31 randomly chosen houses. She records the level of antigens that create an allergic response. If the antigen level is high enough, the person will go into anaphylactic shock. The mean of her sample is a lot bigger than the median, but Martha hopes that a 90% confidence interval will contain zero. Her confidence interval is (0.116, 1.884). Disappointed, she offers you $144 to find an acceptable, realistic way to change the confidence interval to contain zero. What could you say to earn the money
Answers
The acceptable and realistic ways to to change the confidence interval to contain zero are;
Martha should decrease x-bar by providing medicine to treat shock to the perfume users.Decrease sample size than 30Increase the confidence level, till the interval contains zeroReasons:
The confidence interval is given by the following formula;
\(CI=\bar{x}\pm t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}\)
When the mean, \(\overline x\), is positive and large, both values, \(\bar{x}+ t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}\), and \(\bar{x} -t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}\), will be positive.
Therefore, Martha has to either intervene to reduce the mean also known as x-bar
Increasing the confidence level will increase the allowable error such that \(\bar{x} < t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}\), and the interval will contain zero
Therefore;
Martha should decrease x-bar, \(\overline x\), by providing medicine to treat shock to the perfume usersUse a much smaller sample size, n, such that \(t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}} > \bar{x}\)Increase the confidence level to 95% or 99%, thereby increasing the error boundLearn more here:
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A school has 100 windows. On a cool day, 95 of the windows were closed. Which decimal represents how many of the windows were open? *
Answers
Answer: 0.05
Step-by-step explanation:
Since 95 out of 100 were closed, the closed window is 95% = 0.95.
5 open windows = 5% = 0.05
Can you explain to me how did we get the answer
Answers
The end behavior of the polynomials are as follows;
(a) y = x³ - 9·x² + 8·x - 14
End behavior; y → ∞ as x → ∞
\({}\) y → -∞ as x → -∞
(b) y = -8·x⁴ + 13·x + 800
End behavior; y → -∞ as x → -∞
\({}\) y → -∞ as x → ∞
What is the end behavior of a a polynomial?The end behavior of a polynomial is the characteristics of the graph of the polynomial as the input (x-values), tends to plus and minus infinity.
The factors that effect the end behavior of a polynomial are;
The degree of the polynomial, (even or odd)
The sign of the leading coefficient of the polynomial (positive or negative)
The leading coefficient is the coefficient of the term with the highest degree.
(a) The polynomial, function, y = x³ - 9·x² + 8·x - 14
The specified polynomial is a third degree polynomial, with a positive leading coefficient of 1, the end behavior is therefore;
y tends to positive infinity as x tends to positive infinity
y tends to negative infinity as x tends to negative infinity
End behavior;
y → ∞ as x → ∞
y → -∞ as x → -∞
(b) The polynomial function can be expressed as follows;
y = -8·x⁴ + 13·x + 800
The above polynomial of degree 4 is an even degree polynomial
The leading coefficient of the polynomial is -8, therefore, the leading coefficient is negative
The shape of the graph of the polynomial is therefore ∩ shaped, such that the end behavior is as follows;
y-values approaches negative infinity as x approaches negative infinity
y-values approaches negative infinity as x approaches positive infinity
End behavior;
y → -∞ as x → -∞
y → -∞ as x → ∞
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if m<xyz = 58 and m<wxz = 51 find m<wzx
Answers
Answer:
m<wzx = 71
Step-by-step explanation:
Assuming these are interior angles of a triangle.
The sum of all three interior angles of a triangle is always 180 degrees, therefore:
m<xyz + m<wxz + m<wzx = 180
Substitute our values:
58 + 51 + m<wzx = 180
m<wzx = 180 - 58 - 51
m<wzx = 71
solve for (A,B) answer quick
Answers
Using substitution method, the values of a and b in the system of linear equations are 6.3 and 3.65
What is system of linear equationsA system of linear equations is a set of two or more linear equations that contain two or more variables. The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system simultaneously. Linear equations are equations that can be written in the form of ax + b = y, where a, b, and x are constants and x is the variable.
To solve this problem, we have to solve the equations simultaneously using either substitution or elimination method.
0.95a + 1.1b = 10 ...eq(i)
a + b = 9.95 ...eq(ii)
From equation (ii)
a + b = 9.95
a = 9.95 - b ...eq(iii)
Put eq(iii) into eq(i)
0.95(9.95 - b) + 1.1b = 10
b = 3.65
put b = 3.65 into eq(ii)
a + 3.65 = 9.95
a = 6.3
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Show the algorithm/abstract strategy to justify the 3/5?
Answers
The algorithm/abstract strategy to justify the fraction 3/5 involves interpreting it as a division, performing the division, and obtaining the decimal representation as the results.
To justify the fraction 3/5, we can use the concept of division and understand it as a ratio or proportion.
Algorithm/Abstract Strategy:
Start with the numerator, which is 3.
Identify the denominator, which is 5.
Interpret the fraction as a ratio or comparison between the numerator and denominator.
Understand that 3/5 represents a division where the numerator (3) is divided by the denominator (5).
Perform the division: 3 ÷ 5.
Simplify the division to its simplest form, if necessary.
The result of the division, in this case, is the decimal representation of the fraction.
If required, convert the decimal representation to a percentage or any other desired form.
For example, if we perform the division 3 ÷ 5, the result is 0.6.
So, 3/5 can be justified as the ratio or proportion where the numerator (3) is divided by the denominator (5) resulting in 0.6.
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Can I please get some help I’ve been stuck on this question for a while!
Answers
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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What is the definition of perpendicular lines?
1.two lines that intersect in a way that forms right angles
2.two lines that intersect in a way that cuts both lines in half
3.two lines that intersect in a way that they share more than one common point
4.two lines that intersect in a way that forms two congruent angles
Answers
Answer:
Step-by-step explanation:
The correct definition of perpendicular lines is option 1: "Two lines that intersect in a way that forms right angles."
When two lines intersect to form four right angles (90-degree angles), they are said to be perpendicular to each other. The point at which the lines intersect is called the point of intersection.
Therefore, option 1 is the correct definitation of perpendicular lines.
Answer: 1. Two lines that intersect in a way that forms right angles.
Step-by-step explanation:
Hope this helped! :)
√7.5×√3.5 step and answer
Answers
Answer:
√105/2
Step-by-step explanation:
Given the surd expression √7.5×√3.5, this can also be expressed as;
√7.5×√3.5
= √75/10 × √35/10
= √(75×35)/10×`10
=√105×25/100
= 5√105/√100
=5√105/10
=√105/2
Hence the required expression a √105/2
Divide. Round your answer to the nearest tenth.
Answers
4). THE TEMPERATURE IN ANCHORAGE, ALASKA AT MIDNIGHT
WAS -12°F. BY NOON THE TEMPERATURE HAD RISEN 23°F. WHAT
WAS THE TEMPERATURE AT NOON?
Answers
Answer: 11 degrees F
If it was -12 and by noon it had risen 23 degrees just add the two numbers together and you get 11 degrees F
in a survey of a group of people, it was found that 80 people like to drink tea 55 like coffee 25 like both and 30 people did not like both tea and coffee.
Answers
\Caden made a four-digit number with a 3 in the thousands place, a 1 in the ones place, a 7 in the tens place, and a 2 in the hundreds place. What was the number? [4th grade math problem for my daughter]
Answers
Answer:
1723
Step-by-step explanation:
Ones place, tens place, hundreds place, thousands place
Answer:
3271
Step-by-step explanation:
3 in thousands place=3×1000=3000
1 in one's place=1×1=1
7 in ten's place=7×10=70
2 in hundreds place=2×100=200
3000+1+70+200=3271
I need this answered by tmr please!!
Select from the drop-down menus to correctly complete the statement.
The rule (x, y)→(x−10, y−4) represents a translation 10 units
Choose...
and 4 units
Choose...
.
Answers
The rule (x,y) -> (x - 10, y - 4) represents a translation of 10 units left and 4 units down.
What are the translation rules?The four translation rules are defined as follows:
Left a units: x -> x - a.Right a units: x -> x + a.Up a units: y -> y + a.Down a units: y -> y - a.Hence the meaning of each translation in the context of this problem is given as follows:
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The two-way table represents data from a survey asking schoolchildren whether they are attending a summer camp, taking swimming lessons, or both.
A 4-column table with 3 rows. The first column has no label with entries swimming lessons, no swimming lessons, total. The second column is labeled camp with entries 42, 18, 60. The third column is labeled no camp with entries 32, 4, 36. The fourth column is labeled total with entries 74, 22, 96.
Which is the joint relative frequency for school children who plan to attend camp and have swimming lessons? Round the answer to the nearest percent.
4%
19%
33%
44%
Answers
The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.
The correct option to the given question is option d.
We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.
To find the joint relative frequency, we use the formula as follows:
Joint relative frequency = frequency of interest / total frequency
Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96
(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)
Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375
Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).
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what is the product im simplest form for 3/5×2/3
Answers
Answer:
0.4
\(\frac{2}{5}\)
Step-by-step explanation:
Which best describes one of the primary aims of government fiscal policy?
O to restrict price changes
O to put more money into citizens' hands
to generate new investment opportunities
to control real interest rates
Answers
Answer:
Step-by-step explanation:
B. to put more money into citizens ‘ hands.
To put more money into citizens' hands describes one of the primary aims of government fiscal policy
What is Government?A government is the system or group of people governing an organized community, generally a state.
Fiscal policy is the use of government spending and taxation to influence the economy. Governments typically use fiscal policy to promote strong and sustainable growth and reduce poverty.
The 3 goals of fiscal policy are to achieve or maintain full employment, to achieve or maintain a high rate of economic growth, and to stabilize prices and wages.
In the given options we have a statement to put more money into citizens' hands is the primary aim of government fiscal policy
Hence, to put more money into citizens' hands describes one of the primary aims of government fiscal policy
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A local little league has a total of 75 players, of whom 80% are left-handed. How many left-handed players are there?
Answers
Pikuai answers~
===================
60 Players are left handed
===================
Hope this helped, have a great day~
Help please I give brainliest
Answers
Answer:
your formula for 1 is L x W x H which would be 6 x 4 x 5
your formula for 2 is L x W x H otherwise known as 2 x 1.5 x 3
your formula for 3 is L x W x H which would be 10 x 10 x 30
your formula for 4 is L x W x H or 6 x 3 x 4
I don't know what it means by plug in.