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il63 [147K]
3 years ago
6

Fran purchased an annuity that provides $5,400 quarterly payments for the next 10 years. The annuity was purchased at a cost of

$135,000. How much of the first quarterly payment will Fran include in her gross income?
Mathematics
1 answer:
guajiro [1.7K]3 years ago
4 0

Answer:

$5400

Step-by-step explanation:

Gross income is any interest, wage etc(money received) given to someone which they account for before any deductions and tax. Fran will have to include all $5400 of her first quarterly payment into her gross income because there are no deductions yet and tax when you consider what is put in gross income. Fran would have earned this amount as a payment from the purchasing of the annuity as it serves as a payment back for purchasing an annuity which to Fran, is an investment.

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Using the remainder theorem which quotient has a remainder of 20?
stealth61 [152]

Answer:

D

Step-by-step explanation:

When a polynomial f(x) is divided by (x - a) then remainder is f(a)

A

divided by (x + 4 ), then a = - 4

(-4)^{4} - 8(- 4)² + 16 = 256 - 128 + 16 = 144 ≠ 20

B

divided by (x - 2), then a = 2

3(2)³ + 7(2)² + 5(2) + 2

= 3(8) + 7(4) + 10 + 2

= 24 + 28 + 12 = = 64 ≠ 20

C

divided by (x + 5) , then a = - 5

(- 5)³ + 5(- 5)² - 4(- 5) + 6

= - 125 + 125 + 20 + 6 = 26 ≠ 20

D

divided by (x - 2), then a = 2

3(2)^{4} - 5(2)³ + 5(2) + 2

= 3(16) - 5(8) + 10 + 2

= 48 - 40 + 12 = 20 ← Remainder of 20

3 0
2 years ago
Simplify
denis23 [38]

Hello!

<u><em>Answer: </em></u>

<u><em>1. =-6</em></u>

<u><em>2. =39</em></u>

<u><em>3. =-603</em></u>

_________________________________________________

Explanation: This question's it's about the order of operations. It stands for p-parenthesis, e-exponents, m-multiply, d-divide, a-add, and s-subtract. It can also go left to right. (PEMDAS)

1. -4(3-1)+2

Do parenthesis first.

(3-1)=2

-4*2+2

Then do multiply left to right.

-4*2=-8

Add left to right.

-8+2

8-2=6

*Answer should be have negative sign.*

Answer: → \boxed{=-6}

______________________________________________________

2. 3⋅[(30−8)÷2+2]

Do parenthesis first.

(30-8)=22

22/2+2

Then divide left to right.

22/2=11

Add left to right.

11+2=13

Multiply left to right.

3*13=39

*Answer should be have positive sign.*

Answer: → \boxed{=39}

_____________________________________________________

3. 14(1-23)2+13

Do parenthesis first.

(1-23)=-22

14(-22)*2+13

Then, you multiply left to right.

14(-22)=-308

-308*2=-616

Add/subtract left to right.

-616+13

616-13=603

*The answer must be have a negative sign*

Answer: → \boxed{=-603}

____________________________________________________________

Hope this helps!

Thank you!

Have a great day!

-Charlie

7 0
3 years ago
Please help just divide
Tju [1.3M]

Answer:

the answer is Z

Step-by-step explanation:

I just looked it up

5 0
3 years ago
Given ∆QRS≅∆TUV, QS=4v+3, and TV=7v-9, find the length of QS and TV.?
Anon25 [30]
If we are supposed to assume that QS=TV

4v+3=7v-9
minus 4v both sides
3=3v-9
add 9
12=3v
divide 3
4=v
v=4

sub back

4v+3=QS=TV
4(4)+3=QS=TV
16+3=QS
19=QS=TV

then answer is C
7 0
3 years ago
Read 2 more answers
This Venn diagram shows the pizza topping preferences for 9 students. Let event A = The student likes pepperoni. Let event B = T
victus00 [196]

Answer:

P(A\ or\ B)=\frac{7}{9}

Step-by-step explanation:

We need to use the formula to calculate the probability of (A or B) where  

A=Probability a student likes pepperoni

B=Probability a student likes olive

A and B =Probability a student likes both toppings in a pizza

A or B =Probability a student likes pepperoni or olive (and maybe both), a non-exclusive or

The formula is

P(A\ or\ B)=P(A)+P(B)-P(A\ and\ B)

Since 6 students like pepperoni out of 9:

P(A) = \frac{6}{9}

Since 4 students like olive out of 9:

P(B) = \frac{4}{9}

Since 3 students like both toppings out of 9

P(A\ and\ B) = \frac{3}{9}

Then we have

P(A\ or\ B)=\frac{6}{9}+\frac{4}{9}-\frac{3}{9}

P(A\ or\ B)=\frac{7}{9}

7 0
2 years ago
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