All categories

3 years ago

Mr. Jones places money into two separate investment accounts.

1 answer:

6 0

Account 1 : y = 2500(1.078)x
account 2 : y = 2500 + 300x

after the second year a1 exceeds a2

after 2 years, a1 = 5390
after 2 years , a2 = 3100

You might be interested in

Use the discriminant to describe the roots of each equation. Then select the best description.

Misha Larkins [42]

Answer:

see explanation

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 : a ≠ 0, then

The nature of it's roots can be determined by the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then roots are real and distinct

• If b² - 4ac = 0 then roots are real and equal

• If b² - 4ac < 0 then roots are not real

For x² - 4x + 4 = 0 ← in standard form

with a = 1, b = - 4, c = 4, then

b² - 4ac = (- 4)² - (4 × 1 × 4) = 16 - 16 = 0

Hence roots are real and equal

This can be shown by solving the equation

x² - 4x + 4 = 0

(x - 2)² = 0

(x - 2)(x - 2) = 0, hence

x - 2 = 0 or x - 2 = 0

x = 2 or x = 2 ← roots are real and equal

8 0

3 years ago

Angelique is thinking about buying a house for $179,000. The table below shows the projected value of two different houses for t

marusya05 [52]

Answer:

A) both functions are linear

B) f(x) = 7446.4x + 178713.6 and f(x) = 11000x + 179000

C) House 2 will value $106894.4 more than house 1.

Step-by-step explanation:

A) Value Increase from year 1 to year 2:

House 1: 193,606.40 - 186,160 = 7446.4

House 2: 201,000 - 190,000 = 11000

Value Increase from year 2 to year 3:

House 1: 201,350.66 - 193,606.40 = 7744.26

House 2: 212,000 - 201,000 = 11000

This means that a constant increament in x variable gives a constant increament in both houses vales. Then, both functions are linear.

B) The slope is the same as the value increment from one year to the next one.

slope (m) of House 1: 7446.4

slope (m) of House 2: 11000

General formula of a line:

f(x) = mx+b

Replacing with a known point:

House 1

186,160 = 7446.4(1) + b

b = 186,160 - 7446.4 = 178713.6

equation: f(x) = 7446.4x + 178713.6

House 2

190,000 = 11000(1) + b

b = 190,000 - 11000 = 179000

equation: f(x) = 11000x + 179000

C) Replacing x = 30 into each equaiton:

Value of House 1 after 30 years

f(x) = 7446.4(30) + 178713.6 = 402105.6

Value of House 2 after 30 years

f(30) = 11000(30) + 179000 = 509000

Then, house 2 will value 509000 - 402105.6 = $106894.4 more than house 1.

8 0

3 years ago

You make $443 per week, and have claimed five exemptions. How much money will be withheld from you in a year? For weekly gross i

disa [49]

Answer:

Choice A. $2,392 is the correct answer :)

Step-by-step explanation:

3 0

4 years ago

A student finished 8 of her homework problems in class. If the ratio of problems she finished to problems she still had left was

Arlecino [84]

4:1
Multiply each side by 2 to make the left side 8:
8:2

8+2=10
She had a total of 10 homework problems.

Hope this helps :)

7 0

4 years ago

A bond that appreciates 4% per year will be worth $146 in five years. find the current value.

Anastasy [175]

Answer:

$120

Step-by-step explanation:

Let the initial value of bond be $X

The future value of any bond is calculated by formula

FV= PV(1+r)^n

where

FV is future value of bond
PV is present value of bond
r is the rate that at which value of bond appreciate
n is the number of years of maturity

In the problem given

FV= $146

r = 4% = 0.04 (dividing 4 by 100 we get 0.04)

n = 5

substituting these value in formula

$146 = X(1+0.04)^5\\=> X = 146/1.04^5\\=> X = 120$

PV =$X = $120

Hence current value of bond is $120.

4 0

4 years ago