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3 years ago

11

The functions f(x) and g(x) are shown on the graph. Rx) = x² What is g(x)?

1 answer:

djyliett [7]3 years ago

8 0

It’s a flip of the graph on the x-axis

Therefore f(x) = - x^2 (NOT IN PARENTHESIS that would be a reflection on the y axis)

It’s a shift 4 y values down therefore

g(x) = - x^2 - 4

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Laura goes to a bank and opens a new account. She deposits $5,500. The bank pays 1. 6% interest compounded annually on this acco

HACTEHA [7]

The amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

<h3>How to calculate compound interest's amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

$CI = P(1 +\dfrac{R}{100})^T - P$

The final amount becomes:

$A = CI + P\\A = P(1 +\dfrac{R}{100})^T$

For the considered case, we're given that:

Initial amount Laura deposited = $5,500 = P
Type of interest: Compound interest
Unit of time: Annually
Rate of interest = 1.6% annually = R
Total unit of time for which amount is to be calculated: 4 years = T

The final amount at the end of 4 years in the considered account of Laura is evaluated as:

$A = 5500(1 + \dfrac{1.6}{100})^4 = 5500(1.016)^4 \approx 5860.53 \: \rm (in \: dollars)$

Thus, he amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

Learn more about compound interest here:

brainly.com/question/11897800

5 0

2 years ago

5. On a recent day, the exchange rate for US dollars to British pounds

attashe74 [19]

250*0.62= 155

155 pounds is your answer.

8 0

2 years ago

It is possible to get 2 solutions when the system of equations is: (check all that apply)

SVETLANKA909090 [29]

Answer:

A system of the equation of a circle and a linear equation

A system of the equation of a parabola and a linear equation

Step-by-step explanation:

Let us verify our answer

A system of the equation of a circle and a linear equation

Let an equation of a circle as $x^2+ y^2 = 1$ ..........(1)

Let a liner equation Y = x ............(2)

substitute (2) in (1)

$x^2 + x^2 = 1\\2x^2 = 1\\$

$x^2 = \frac{1}{\sqrt{2} } \\x = +\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }$ so Y = $+\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }$

so the two solution are ( $(\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} }) (-\frac{1}{\sqrt{2} }, -\frac{1}{\sqrt{2} }$ )

A system of the equation of a parabola and a linear equation

Let equation of Parabola be $y^2 = x$

and linear equation y = x

substitute

$x^2 = x\\x^2 - x= 0\\x(x-1) = \\x = 0 , 1$

Y = 0,1

so the two solutions will be (0,0) and (1,1)

3 0

3 years ago

Timothy is an hourly employee and he can work maximum of 40 hours in a week. If the weekly salary depends on the number of hours

Gennadij [26K]

Answer:

C

Step-by-step explanation:

0 ≤ h ≤ 40, h ∈ R

Hope this helps :)

7 0

2 years ago

4r+8+5=-15-3r ANSWER NUMBER FORM NO WORDS AT ALL

wolverine [178]

Answer:

r = -4

Step-by-step explanation:

Step 1: Write out equation

4r + 8 + 5 = -15 - 3r

Step 2: Combine like terms

4r + 13 = -15 - 3r

Step 3: Add 3r to both sides

7r + 13 = -15

Step 4: Subtract 13 on both sides

7r = -28

Step 5: Divide both sides by 7

r = -4

7 0

3 years ago

Read 2 more answers