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3 years ago

On a map,

Mathematics

1 answer:

defon3 years ago

8 0

You need to multiply 14.6 and 4.5, so your answer is 65.7

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You have $500,000 saved for retirement. Your account earns 8% interest. How much will you be able to pullout each month, if you

borishaifa [10]

The rule of the payout annuity is

$P=\frac{d(1-(1+\frac{r}{n})^{-nt})}{\frac{r}{n}}$

P is the initial amount

d is regular withdrawals

r is the annual rate in decimal

n is the number of periods in a year

t is the time

Since you have $500 000 saved, then

P = 500000

Since the interest is 8%, then

r = 8/100 = 0.08

Since the time is 15 years, then

t = 15

Since you want the monthly amount, then

n = 12

Substitute them in the rule to find d

$\begin{gathered} 500000=\frac{d(1-(1+\frac{0.08}{12})^{-12(15)})}{\frac{0.08}{12}} \\ 500000(\frac{0.08}{12})=d(1-(\frac{151}{150})^{-180}) \\ \frac{10000}{3}=d(1-(\frac{151}{150})^{-180}) \\ \frac{\frac{10000}{3}}{(1-(\frac{151}{150})^{-180})}=d \\ 4778.260422=d \end{gathered}$

Then you will be able to pull $4778.260422 each month

4 0

1 year ago

Micah places a mirror on the ground 24 feet from the base of a tree. He walks

irina [24]

The height of tree is 8 feet

<h3><u>Solution:</u></h3>

Given, Micah places a mirror on the ground 24 feet from the base of a tree

At that point, Micah's eyes are 6 feet above the ground

And he is 9 feet from the image in the mirror.

To find : height of tree = ?

Let "n" be the height of tree

From the question, we can see there is a directly proportional relationship between heights and distances.

Proportional relationships are relationships between two variables where their ratios are equivalent.

$\frac{\text { height of micah eyes above ground }}{\text { distance of micah from mirror }}=\frac{\text { height of tree above the ground }}{\text { distance of tree from mirror }}$

$\begin{array}{l}{\frac{6 \text { feet }}{9 \text { feet }}=\frac{n \text { feet }}{24 \text { feet }}} \\\\ {\frac{6}{9}=\frac{n}{24}} \\\\ {\text { n }=\frac{1}{3} \times 24} \\\\ {\text { n }=8}\end{array}$

Hence, the height of the tree is 8 feet

6 0

3 years ago

What is the Expanded form of 0.068?

balu736 [363]

Six hundredths, and eight thousandths
Maybe...
Point zero six-eight

7 0

4 years ago

Find the solution of 5 times the square root of the quantity of x plus 7 equals negative 10, and determine if it is an extraneou

PilotLPTM [1.2K]

5sqrt(x+7)=-10
Dividing both sides by 5:
5sqrt(x+7)/5=-10/5
sqrt(x+7)=-2
Squaring both sides of the equation:
[sqrt(x+7)]^2=(-2)^2
x+7=4
x+7-7=4-7
x=-3

Replacing in the original equation:
5sqrt(x+7)=-10
5sqrt(-3+7)=-10
5sqrt(4)=-10
5(2)=-10
10=-10 It's not equal, then x=-3 is an extraneous solution

7 0

3 years ago

Lines

shutvik [7]

FOE = 60 degrees. let me know if you need to show working

5 0

4 years ago

On a​ map,

On a map,