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raketka [301]
2 years ago
12

Ishan and Hazel plan to retire at age 60 with a retirement income of $48,000 a year from their savings. Rather than pay themselv

es the whole amount at the beginning of each year, they have decided that payment at the beginning of each quarter of $12,000 gives them the right balance of flexibility and maximized interest earnings. They feel they can safely earn an interest rate of 7.5%, compounded quarterly, on their money and they are budgeting based on the prediction that they will live until they are 90 years old.
How much money will they have to have saved by the time they are 60 in order to reach their retirement goal?

If they do live the full 30 years, and spend their full quarterly budget, how much money in total will they have lived on/spent in their retirement?

How much will have been earned in interest?

If they saved the same total amount of their own money, but no interest earned over the years whatsoever, how much would be available to live on each quarter?
Mathematics
1 answer:
GuDViN [60]2 years ago
8 0

Answer:

5

Step-by-step explanation:

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FONTS
Wewaii [24]

Answer:

x=5

Step-by-step explanation:

9x^2 - 2x + 25 = 8x^2 + 8x

9x^2-8x^2-2x-8x+25=0

x^2-6x+25=0 factorize

(x-5)(x-5)=0

x-5=0 then x=5

8 0
3 years ago
When solving the system using the additional/elimination method, which variables will cancel?
iogann1982 [59]

Answer:

the x terms

Step-by-step explanation:

there is a +x and a -x.

x-x=0,

x will cancel out

6 0
3 years ago
6. Let f and g be differentiable functions
Julli [10]

Answer:

(b) 1

Step-by-step explanation:

To differentiate h(x)=f(x)g(x) we will need the product rule:

h'(x)=f'(x)g(x)+f(x)g'(x).

We have h'(x)=f(x)g'(x), so the following equation is true by the transitive property:

f'(x)g(x)+f(x)g'(x)=f(x)g'(x)

By subtraction property we have:

f'(x)g(x)=0

Since g(x) \neq 0, then we can divide both sides by g(x):

f'(x)=\frac{0}{g(x)}

f'(x)=0

This implies f(x) is constant.

So we have that f(x)=c where c is a real number.

Since f(0)=1 and f(0)=c, then by transitive property 1=c.

So f(x)=1.

Checking:

h(x)=1 \cdot g(x)

h'(x)=g'(x)=1 \cdot g'(x)

So the following conditions were met.

5 0
3 years ago
ΔABC is similar to ΔDEF. The length of segment AC is 12 cm. The length of segment BC is 18 cm. The length of segment DF is 10 cm
SCORPION-xisa [38]

Answer:

It's 15

i took the test

Step-by-step explanation:

5 0
2 years ago
A rectangle tank is 21cm long,13 cm wide and 18cm high and contains water up to a height of 11cm theb the volume of water in lit
Zolol [24]

Answer:

3003 cm³

Step-by-step explanation:

21cm × 13cm × 11 cm = 3003 cm³

6 0
2 years ago
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