Ask question

Ask question

All categories

2 years ago

11

Bill is a financial manager. He writes the equation A=2500(1.36)t to find out how much it will cost his company for a one-year l

oan of $2500 if the 36% APR is compounded only once. Which answer shows how the equation can be rewritten to find the interest rate that would cost Bill's company the same amount if it were compounded quarterly?

1 answer:

Viefleur [7K]2 years ago

4 0

Answer:

Step-by-step explanation:

First, to get the rate, we divide 36% by 100 to get point 36. Since the formula is A =P(1+Interest rate/ How many units its being compounded)^ Time x How many times its being compounded. It would make the equation 2500(1+.36/4)^Compounded once which is 1 x 4 = A.

Hope this helps.

You might be interested in

According to the College Board website, the scores on the math part of the SAT (SAT-M) in a recent year had a mean of 507 and st

Leviafan [203]

Answer:

The actual SAT-M score marking the 98th percentile is 735.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 507, \sigma = 111$

Find the actual SAT-M score marking the 98th percentile

This is X when Z has a pvalue of 0.98. So it is X when Z = 2.054. So

$Z = \frac{X - \mu}{\sigma}$

$2.054 = \frac{X - 507}{111}$

$X - 507 = 2.054*111$

$X = 735$

8 0

2 years ago

If f(x)=4x^2+1 and g(x)=x^2-5 find(f+g)(x)

Zepler [3.9K]

Answer:

$\large\boxed{(f+g)(x)=5x^2+6}$

Step-by-step explanation:

$(f+g)(x)=f(x)+g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f+g)(x)=(4x^2+1)+(x^2-5)\\\\=4x^2+1+x^2-5\qquad\text{combine like terms}\\\\=(4x^2+x^2)+(1+5)\\\\=5x^2+6$

6 0

2 years ago

In equilateral ΔABC, AD, BE, and CF are medians. If FO = 4, then AE = A) 4 B) 4 3 C) 8 D) 12

vampirchik [111]

Firstly, we need to draw triangle

we know that

O is a centroid

and centroid divides median into 2:1

so,

$\frac{CO}{FO} =\frac{2}{1}$

we have FO=4

so, we can plug it

$\frac{CO}{4} =\frac{2}{1}$

$CO=8$

now, we can find CF

CF=OC+FO

CF=8+4

CF=12

now, we can see triangle ACF is a right angled triangle

so, we can use pythagoras theorem

$x^2=(\frac{x}{2} )^2+12^2$

now, we can solve for x

$\frac{3x^2}{4}=144$

$x^2=192$

$x=8\sqrt{3}$

Since, it is equilateral triangle

so,

$AC=x=8\sqrt{3}$

we know that

E is a mid-point

so,

$AE=\frac{AC}{2}$

now, we can plug values

$AE=\frac{8\sqrt{3}}{2}$

$AE=4\sqrt{3}$ ................Answer

5 0

2 years ago

Read 2 more answers

The world's fastest man, Usain Bolt,

skad [1K]

Answer:

Step-by-step explanation:

First make a ratio,

6:62.64

Now make an equation

6/62.64=4/x

solve for x...

x=41.76

7 0

2 years ago

Find the distance between the two points.

Alecsey [184]

Answer:

The answer is

<h2> $\sqrt{17} \: \: \: units$ </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-2 , 3) and ( 2 , 4 )

The distance between them is

$d = \sqrt{ ({ - 2 - 2})^{2} + ({ 3 - 4})^{2} } \\ = \sqrt{ ({ - 4})^{2} + ( { - 1})^{2} } \\ = \sqrt{16 + 1} \\ = \sqrt{17} \: \: \: \: \: \: \: \:$

We have the final answer as

$\sqrt{17} \: \: \: units$

Hope this helps you

7 0

2 years ago