Two brothers, Mark and Steven, each inherit $45000. Mark invests his inheritance in a savings account with an annual return of3.2 %, while Steven invests his inheritance in a CD paying 4.5 % annually. How much more money than Mark does Steven have after

1 year?

Answers

Answer 1
Answer:

Answer:

Steven ears $565 more in one year.

Step-by-step explanation:

Giving the following information:

Mark:

PV= $45,000

n= 1

i= 0.032

Steven:

PV= $45,000

n= 1

i= 0.045

To calculate the Future Value of each investment, we need to use the following formula:

FV= PV*(1+i)^n

Mark:

FV= 45,000*1.032= $46,440

Steven:

FV= 45,000*1.045= $47,025

Difference= 47,025 - 46,440= $565

Steven ears $565 more in one year.

Answer 2
Answer:

Final answer:

After investing their inheritance for one year, Steven has $585 more than Mark due to the higher interest rate of his investment.

Explanation:

After one year, the amount of money Mark and Steven have can be calculated using the formula for compound interest, which is P(1 + r) to the power of n, where P is the principal amount, r is the annual interest rate, and n is the time in years. So, Mark's future value would be $45000(1 + 0.032) = $46440. In contrast, Steven's future value would be $45000(1 + 0.045) = $47025. Therefore, Steven has $47025 - $46440 = $585 more than Mark after 1 year.

Learn more about Compound Interest here:

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G(x) = 2x − 1 h(x) = 1 − g(x) The functions g and h are defined above. What is the value of h(0)?

Distribute 2(-3x+3x)

Answers

Answer:

-6x+6x

Step-by-step explanation:

Start with:

2(-3x+3x)

Distribute by multiplying:

(2)(-3x) = -6x

(2)(3x)=6x

You're left with:

-6x+6x

(2) (-3x) + (2) (3x) please mark me the brainliest

Find the center of this circle by completing the square. x^2+y^2-6x+8y+10=0
Show work

Answers

Answer:

Center: (3, - 4)

Step-by-step explanation:

We can start to solve this problem by converting this equation into standard form. In other words, by completing the square --- (1)

Subtract " 10 " from either side of the equation x² + y² - 6x + 8y + 10 = 0

x² + y² - 6x + 8y = - 10

Step 1: Complete the square for the expression " x² - 6x "

Using the quadratic equation ax² + bx + c we know that a = 1, b = - 6, c = 0. Assume that d = b / 2a. We have...

d = - 6 / 2(1) = - 6 / 2 = - 3

Now let's assume that e = c - (b²) / 4a...

e = 0 - (-6)² / 4(1) = 0 - 36 / 4 = 0 - 9 = 9 (Substitute values d and e)

(x - 3)² - 9

Step 2: Respectively we can complete the square for the remaining expression " y² + 8y "

Here a = 1, b = 8, c = 0

d = 8 / 2(1) = 8 / 2 = 4

e = 0 - (8)² / 4(1) = 0 - 64 / 4 = 0 - 16 = - 16 (Substitute values)

(y + 4)² - 16

This leaves us with the expression " (x - 3)² - 9 + (y + 4)² - 16 = - 10. " If we simplify this a bit further it leaves us with the following circle equation. Using this we can identify the center of the circle as well --- (2)

\mathrm{Standard}\:\mathrm{Circle}\:\mathrm{Equation} : (x - 3)^2 + (y +4)^2 = 15,\n\mathrm{General}\:\mathrm{Form} : (x - h)^2 + (y +k)^2 = r^2,\n\mathrm{Properties} : \mathrm{Center} = (3, - 4), \mathrm{Radius} = √(15)

As you can see our center here is (3, - 4)

What is the measure of each angle of a regular 24-gon? If necessary, round to thenearest tenth.

Answers

Answer:

165°

Step-by-step explanation:

Find the interior angle measure by using the formula, ((n - 2) x 180°) / n

Plug in 24 as n:

((n - 2) x 180°) / n

((24 - 2) x 180°) / 24

(22 x 180°) / 24

3960 / 24

= 165

So, the measure of each angle is 165°

Answer:

163.6

Step-by-step explanation:

180•(22-2)=180•20 =3600

3600/22= 163.636363…

Answers in Scientific Notation.

Answers

one way is to factor the expressions

(a)

10^(5) (1.2 + (5.35 × 10^(1)))

= 10^(5) (1.2 + 53.5)

= 54.7 × 10^(5) = 5.47 × 10^(1)× 10^(5) = 5.47 × 10^(6)

(b)

10^(-3)((6.91 × 10^(1)) + 2.4)

= 10^(-3)(69.1 + 2.4)

= 71.5 × 10^(-3) = 7.15 × 10^(1) × 10^(-3) = 7.15 × 10^(-2)

(c)

10^(5)((9.7 × 10^(1)) + 8.3)

= 10^(5)(97 + 8.3)

= 105.3 × 10^(5) = 1.053 × 10^(2) × 10^(5) = 1.053 × 10^(7)

(d)

10^(1)((3.67 × 10^(1)) - 1.6)

= 10^(1)(36.7 - 1.6)

= 35.1 × 10^(1) = 3.51 × 10^(1) × 10^(1) = 3.51 × 10^(2)

(e)

10^(-6)((8.41 × 10^(1)) - 7.9)

= 10^(-6)(84.1 - 7.9 )

= 76.2 × 10^(-6) = 7.62 × 10^(1) × 10^(-6) = 7.62 × 10^(-5)

(f)

10^(4)((1.33 × 10^(1)) - 4.9 )

= 10^(4)(13.3 - 4.9) = 8.4 × 10^(4)












What is the value of 10P10?

a. 3,628,800
b. 1,814,400
c. 100
d. 0

Answers

the answer is A.. I HAD THE SAME QUESTIONN]
The correct answer is A

Sarah practices her violin 45 minutes each practice session. She sets a goal to practice 6,075 minutes.How many practice sessions will it take for Sarah to reach her goal?

Answers

Answer:

135 times

Step-by-step explanation:

Answer:

135

Step-by-step explanation: