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Degger [83]
3 years ago
5

Suppose you want to accumulate $25,000 as down payment on a house and the best you can do is to put aside $200 a month. If you d

eposit this amount at the beginning of each month in an account that credits 0.75% interest monthly, how long will it take you to attain your goal?
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
7 0

Answer:

It will take 88.2 months to accumulate the amount

Step-by-step explanation:

Given;

Future value of money, FV = $25,000

investment per compound period, P = $200

interest rate, i = 0.75% x 12 = 9%

The number of monthly installments required to amount to FV is given by;

n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months

Therefore, it will take 88.2 months to accumulate the amount.

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The given two-parameter family is a solution of the indicated differential equation on the interval
mr_godi [17]

Answer:

I do 1 option for you as an example, you need to check the leftover by yourself.

Step-by-step explanation:

for d) y(0) = 0 and y'(pi) =0

y(0) = C_1e^0cos(0)+ C_2 e^0 sin(0) = 0 \longrightarrow C_1 = 0

y(x) ' = C_1e^x cos(x) - C_1e^x sin (x) + C_2e^x sin(x) + C_2e^x cos(x)

y(\pi)'=C_1e^\pi cos(\pi)- C_1e^\pi sin(\pi)+ C_2e^\pi sin(\pi) + C_2e^\pi cos (\pi)

Replace C_1 = 0 we have

y'(\pi) = -C_2e^\pi = 0

if and only if C_2 =0

Hence the given solution does not work.

then, d is NOT the correct answer.

3 0
3 years ago
20 % of 2 is equal to wht
iren2701 [21]
It would be 0.4:) hope this helps
5 0
3 years ago
Read 2 more answers
This figure represents line segments painted on a parking lot to create parking spaces. Which equation can
OLga [1]
D. W + 118=180 is the answer for the problem
4 0
3 years ago
Find the volume of the cone.<br> Either enter an exact answer in terms of <br> π or use 3.14 for π
notsponge [240]

Answer:

157.08

Step-by-step explanation:

Use the formula for volume of a cone: V = \pi r^{2} \frac{h}{3}

6 0
3 years ago
Nathaniel measured the height of one shelf on his bookcase. He wants to know which books will fit on the shelf. The shelf is 22.
UkoKoshka [18]
PART A - So the ruler is 22.86 centimeters tall, and after measuring with an inch ruler, is also 9 inches tall.
ruler = 22.86cm
ruler = 9 in
You can equate 22.86cm and 9in because they both equal the length of the ruler (transitive property).
22.86cm = 9in
Then you can write a proportionality equation.
\frac{22.86cm}{9in} = \frac{x}{1in} \\

Part B - 
Cross multiplying,
(9in)x = (22.86cm)1 \\ &#10;x =  \frac{22.86cm}{9in}= 2.54cm/in

Part C - We can use something called dimensional analysis - multiplying 12 cm by (1in/2.54cm) - in order to change the units from inches to cm. This is possible because 1in = 2.54cm, the fraction 1in/2.54cm = 1. And also the units cm will cancel out.
\frac{12cm}{1} * \frac{1in}{2.54cm} = 4.72in

6 0
3 years ago
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