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3 years ago

Heidi is saving for a new bike. She has already saved $57. If Heidi earns

Mathematics

2 answers:

PtichkaEL [24]3 years ago

7 0

Answer:

8 hours

Step-by-step explanation:

57 + 9h = 129

9h = 72

h = 8

9966 [12]3 years ago

6 0

Answer: Heidi needs to babysit for 8 more hours to afford the bike.

Step-by-step explanation:

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Find the area of the triangle defined by the coordinates (7, 1), (0, 10), and (9, 4). (To the nearest tenth)

slega [8]

Answer:

C) 19.5 square units

Step-by-step explanation:

The area from coordinates can be computed as ...

A = (1/2)|x1(y2 -y3) +x2(y3 -y1) +x3(y1 -y2)|

= (1/2)|7(10 -4) +0(4 -1) +9(1-10)| = (1/2)|7·6 +9·(-9)|

= (1/2)|-39| = 39/2 = 19.5

The area of the triangle is 19.5 square units.

4 0

3 years ago

Read 2 more answers

Find the accumulated value of an investment $10,000 for 3 years at an interest of 7% if the money is compounded semiannually; co

asambeis [7]

Answer:

Correct answer: 1) AV = 12,290 $, 2) AV = 12,310 $, 3) AV = 12,330 $,

4) AV = 12,337 $

Step-by-step explanation:

Given:

I = 10,000$

n = 3 years

p = 7% = 0.07

Accumulated value of an investment is calculated with next formula:

AV = I · (1 + (p/a))ᵃⁿ where is:

AV - accumulated value

I - investment

p - interest

a - number of calculation parts during one year as the accounting period

n - number of years as the accounting period

1) money is compounded semiannually

a = 2 and a · n = 2 · 3 = 6

AV = I · (1 + (p/a))ᵃⁿ = 10,000 · (1 + (0.07/2))⁶ = 10,000 · 1.229 = 12,290 $

AV = 12,290 $

2) money is compounded quarterly

a = 4 and a · n = 4 · 3 = 12

AV = I · (1 + (p/a))ᵃⁿ = 10,000 · (1 + (0.07/4))¹² = 10,000 · 1.231 = 12,310 $

AV = 12,310 $

3) money is compounded monthly

a = 12 and a · n = 12 · 3 = 36

AV = I · (1 + (p/a))ᵃⁿ = 10,000 · (1 + (0.07/12))³⁶ = 10,000 · 1.233 = 12,330 $

AV = 12,330 $

4) money is compounded continuously

Accumulated value of an investment continuously compounded is calculated with next formula:

AV = I · eⁿᵇ where is:

n - number of years as the accounting period

b = p = 7% = 0.07

n · b = 3 · 0.07 = 0.21

AV = 10,000 e⁰²¹ = 10,000 2.7183⁰²¹ = 10,000 1.2337 = 12,337 $

AV = 12,337 $

God is with you!!!

8 0

3 years ago

Simplify (2x^2y)^3 (-3xy^2)^2

solniwko [45]

Simplified it's 576x^8y^7

8 0

3 years ago

PLEASE HELP I WILL MARK YOU BRAINLIEST

stira [4]

Answer:

1. <u>2448</u> do 612x4

2.she got <u>$23 </u>because he has four children and splits all do 72 divide by 4 and add 5 and thats ur answer

hope this helped

5 0

3 years ago

Read 2 more answers

Type the correct answer in each box. Use numerals instead of words.

stira [4]

The system of equations when been placed in a matrix yields

$\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}-175\\25080\end{array}\right]$

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

y = 650x + 175 and;

y = 25080 - 120x

Rearranging the equations gives:

650x - y = -175 and;

120x + y = 25080

Placing the equations in a matrix gives:

$\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}-175\\25080\end{array}\right]$

The system of equations when been placed in a matrix yields

$\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}-175\\25080\end{array}\right]$

Find out more on equation at: brainly.com/question/2972832

#SPJ1

6 0

2 years ago