Each sales associate at an electronics store has a choice of the two salary options shown below:-$115 per week plus 9.5% commission on the associate's total sales
-$450 per week with no commission

The average of the total sales amount for each associate last year was $125,000. Based on this average, what is the difference between the two salary options each year? (52 weeks = 1 year) (10 POINTS)

Answers

Answer 1

Answer: $450 x 52 weeks = $23400

$115 x 52 weeks = $5980

125000 x 0.095 = 11875

11875 + 5980 = 17855

23400 - 17855 = 5545

The difference is $5545

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Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference of the two grades is 16. The sum of one-eighth of the higher grade and one-half of the lower grade is 52. The system that represents his scores is below.. . x – y = 16. . x + y = 52. . What is the higher grade of Jose’s two tests?. . 48. 52. 80. 96
What is the completely factored form of 12xy – 9x – 8y + 6?
Factor 20x2 + 25x - 12x - 15 by grouping.

What is the area of a circle with a radius of 1 foot?

Answers

Answer:

3.14 ft² or 2,917 cm²

Step-by-step explanation:

To do this, we need to know the expression to calculate the area of a circle.

The area of any circle is:

A = πr²

Where:

π: value of pi, which is 3.14

r: radius of the circle, in this case 1 ft

Calculating the area in units of ft:

A = 3.14 * (1)²

A = 3.14 ft²

Now, if you convert the foot to cm we have:

1 * 30.48 = 30.48 cm

Solvinf for A:

A = 3.14 * (30.48)²

A = 2,917.15 cm²

Answer:

Pi feet squared

Step-by-step explanation:

Erika spent 3/4 of her money on lunch. She has 2.00 left. How much money did she start with?

Answers

8.00 $ Because if she spent 4 fourths she would have no money left so multiply 2 times four and you get 8. Your welcome ;)

1. Christopher wants to invest $6200 in a retirement fund that guarantees a return of 9% annually using continously compounded intrest. How much will he have after 20 years?a) $6002.82
b) $25164.10
c) $37507.81
d) $556342.35

2. You invest $2,600 into a savings account with a 4.25% annual interest rate that compounds interest quarterly. Determine the balance on the account after 5 years.
a) $3766.54
b) $3211.99
c) $3980.50
d) $4560.60

3. You invest $2,600 into a savings account with a 4.25% annual interest rate that compounds interest quarterly. Determine the balance on the account after 50 years.
a) $21,526.87
b) $22,998.70
c) $20,450.10
d) $24,548.33

4. Stock Texas has a price of $156 per share when Bond Austin has a price of $23 per bond. Use an equation modeling the inverse variation between the stock and bond prices to predit the price of stock Texas when bound austin is worth the following: $68.74
a) $59.33
b) $48.115
c) $57.75
d) $52.20

5. What will be your total investment from an annuity of $500 per year compounded continuously earning 8% for 6 years?

Answers

1. Continuously compounded formula is given by:
A=Pe^rt
Thus given:
P=$6200, r=0.09, t=20 years:
A=6200e^(0.09*20)
A=37,507.81

Answer: c] $37507.81

2. Compound interest formula is given by:
A=p(1+r/100n)^(nt)
where: n=number of terms, p=principle, t=time, r=rate
Plugging the values in the formula we get:
A=2600(1+4.25/4*100)^(4*5)
simplifying this we get:
A=$3211.99

Answer: b)$3211.99

3. Using the formula from (2) we have:
A=P(1+r/100n)^nt
plugging in the values we get:
A=2600(1+4.25/400)^(50*4)
Simplifying the above we get:
A=$21526.87

Answer:
A] $21,526.87

4. The price of stock when the bond is worth $68.74 will be:
let the bond price be B and Stock price be S
thus
S=k/B
where
k is the constant of proportionality
thus
k=SB
hence
when S=$156 and B=$23
then
K=156*23
K=3588
thus
S=3588/B
hence
the value of S when B=$68.74
thus
S=3588/68.74
B=52.19668~52.20

Answer: d] $52.20

5. Continuously compounded annuity is given by:

FV =CF×[(e^rt-1)/(e^r-1)]
plugging in the values we get:
FV=500×[(e^(6*0.08)-1)/(e^0.06-1)]
simplifying this we get:
FV=$3698.50

A househelp receives as salary of 36,000 a year with a contract of 250 annual increase for 7 years. What is his total income for 7 years? Show the solution

Answers

Answer:

The total income is 257,250

Step-by-step explanation:

The initial value of salary is 36,000 a year with an increase of 250 every year. Next is presented the salary table of each year:

Year Salary

36,000
36,250
36,500
36,750
37,000
37,250
37,500

To have the total income you have to sum all the value of the seven years.

Total income = 36,000 + 36,250 + 36,500 + 36,750 + 37,000 + 37,250 + 37,500 = 257,250 is the total income for the 7 years.

[71 – (8 2+ 5)] (2 + 3)+ 7 × [2 × (7 3+ 17)] – 72 [40 + (4 2– 6)] (5 – 3)+ 3 × (1 + 4 3– 15) – 150

Answers

Answer:

Step-by-step explanation:

2(3)+8. =6 + 8. = 35 x 102. = 3.5 x 10-1. 3.5 x 10". = 14 ... Substitute b with – 3 and solve. 3). A. 783. 5(-3)2-2(-3)+1. =5(9)+6+1. =45+7. =52 ... (4 – 5x) – (3 – 2x). (4 – 5x)+(-3+ 2x). _+(4 – 5x). +(-3+2x). 1- 3x. to solve. ... (3r' -5+2x). “ - [(7x² +5)– (4x' – 5x)]. – L(7x² +5)– (4x' – 5x). =-|(7x² + 5) – 4x² + 5x].

Can anyone help with number 9?

Answers

2(2x-3) + 2(x+6) = P
(4x - 6) + (2x + 12) = P
6x + 6 = P ~answer~

(2x-3)(x+6) = A
2x^2 + 12x -3x - 18
2x^2 + 9x - 18 = A. ~answer~

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