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DIA [1.3K]
3 years ago
10

Tanya is 42 years old. she would like to open aretirement account so she will have half a million dollars in the account when sh

e retires at the age 65. how much did she deposit each month into an account with an apr of 2.75% to reach her goal?
Mathematics
1 answer:
gladu [14]3 years ago
7 0
Let the total amount that Sarah deposited be $x
using the annuity formula:
A=P[((1+r)^n-1)/r]
A=future value
r=rate
n=number of years
from the information given:
A=$500000
r=2.75%
n=65-42=23 years
p=$x
thus plugging our values in the formula we get:
500000=x[((1+0.0275)^(23)-1)/(0.0275)]
500000=31.50x
x=15,872.04883
She deposited 15,873.04883 per year
The monthly deposit will therefore be:
15873.04883/12=$1322.67
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Answer:

15a^4b-12a^3b^2+6a^2b^3

Step-by-step explanation:

(3a^{2}b)(5a^{2}-4ab+2b^{2})\\  =15a^4b-12a^3b^2+6a^2b^3

4 0
2 years ago
A restaurant can serve a maximum of 70 patrons. There are 47 now being served. Write an inequality to find out how many people m
Fiesta28 [93]
70-47=23 
 I think this is what you are talking about 

8 0
2 years ago
Can someone help me
kolbaska11 [484]

m < 1 = 130°

m < 1 = 130°m < 2 = 50°

We know this is a linear pair, therefore the two angles must add up to 180°

(m < 1 )+ (m < 2 )= 180

5x + x + 24 = 180

Combine like terms

6x + 24 = 180

Isolate the variable

6x = 156

x = 26

Plug in 26 for x in both of the individual angle equations.

m < 1 = 5x

= 5(26)

= 130

m < 2 = x - 24

= (26) + 24

= 50

A good way to check if we did this correctly, is to add up the two angles. Because 180 + 50 = 180, we did this correctly.

I hope this helped. Let me know if you have any questions!

6 0
3 years ago
Higher Order Thinking.
defon
Pat has 4 more cards than Frank. Hope that helps! :) 
7 0
3 years ago
A baseball is thrown into the air from the top of a 224-foot tall building. The baseball's approximate height over time can be r
antoniya [11.8K]
The function is h(t) = -16t^2 + 80t + 224, and according to the description of the function in the problem statement, we have the following:

at t=0 after being thrown (that is, at initial time), the height of the ball is calculated by h(0) as follows:

h(0) = -16(0)^2 + 80(0) + 224=0+0+224=224 (ft), which is the initial height, as expected.


At t=1 (sec), the height would be  h(1) = -16(1)^2 + 80(1) + 224=-16+80+224=288. 

etc.


The path is parabolic, as we know by seeing that the function is a quadratic polynomial function. This function has been given in factored form as well. From that we can see that the zeros of the function are t=7 and t=-2.

This means that at t=7 sec, the height h is 0, which means that the ball has hit the ground. t=-2 has no significance in the context of our problem so we just neglect it.


Answer: B) 7 sec



6 0
3 years ago
Read 2 more answers
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