Can somebody please answer this

As part of his retirement strategy, John plans to invest $210,000 in two different funds. He projects that the moderately high r

Maslowich

Answer:

Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.

Step-by-step explanation:

Given John plans to invest $210,000 in two different funds. He projects that the moderately high risk investments should return, overtime 9% per year,while low risk investments should return about 4% per year.

He wants a supplemental income of$11,400 a year.

Let , he invested $x at 9% per year and $(210,000-x) at 4% per year.

$interest=\frac{prt}{100}$ p = principle , r = rate of interest and t = time

The interest earns at 9% per year= $\frac{x\times 9\times 1}{100}$

The interest earns at 4% per year= $\frac{(210,00-x)\times 4 \times 1}{100}$

According to the problem,

$\frac{x\times 9\times 1}{100}+\frac{(210,00-x)\times 4 \times 1}{100}= 11400$

$\Leftrightarrow 9x+840000-4x=11400 \times 100$

$\Leftrightarrow 5x=1140000-840000$

$\Leftrightarrow x=\frac{300000}{5}$

$\Leftrightarrow x=60,000$

Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.

7 0

3 years ago

The sales tax rate in New Mexico is 5.125%. What will you pay for a $14.50 area rug in New Mexico after tax?

vlada-n [284]

Answer:

15.243125

Step-by-step explanation:

we need to calculate how much would be the tax for 14.5$

so 14.5 * 5.125% = 0.743125

and then we will add that to 14.50

8 0

3 years ago

Read 2 more answers

A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial off

Yakvenalex [24]

Answer:

a) The officers can be appointed in 24024 different ways.

b) The committee can be appointed in 1001 different ways.

c) 1.1% probability of randomly selecting the committee members and getting the three youngest of the qualified candidates

Step-by-step explanation:

The order in which the officers are appointed is important(the first is the president, second the CEO and so on...). So the permutations formula will be used.

Otherwise, in the committee there are no roles, so the order is not important. So the combinations formula will be used.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

A. How many different ways can the officers be appointed?

4 from a set of 14, with roles. So a permutation.

$P_{(14,4)} = \frac{14!}{(14-4)!} = 24024$

The officers can be appointed in 24024 different ways.

B. How many different ways can the committee be appointed?

4 from a set of 14, without roles. So combination

$C_{14,4} = \frac{14!}{4!(14-4)!} = 1001$

The committee can be appointed in 1001 different ways.

C. What is the probability of randomly selecting the committee members and getting the three youngest of the qualified candidates?

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes.

The three youngest(1 combination), and one of the other 14-3 = 11. So $D = 1*11 = 11$

Total outcomes:

From B., 1001, so $T = 1001$

Probability:

$p = \frac{D}{T} = \frac{11}{1001} = 0.011$

1.1% probability of randomly selecting the committee members and getting the three youngest of the qualified candidates

8 0

4 years ago

What is the range of the mapping?

Montano1993 [528]

The range of the mapping is 1,4

6 0

3 years ago

*ill mark brainliest*

Sphinxa [80]

It would be 143 because if you were to multiply 100*11 = 1100 so doing the same for 13*11 would equal 143

4 0

3 years ago