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Kisachek [45]
2 years ago
11

HELP ME PLEASE! Find the equation of the line. Use exact numbers.

Mathematics
1 answer:
dangina [55]2 years ago
6 0

Answer:

The equation of the line (in slope-intercept form) is y=4x-9

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Solve the compound inequality.<br> 5 &lt; 2x - 1 &lt; 9<br><br> Show your work
ASHA 777 [7]

Answer:

3<x<5

Step-by-step explanation:

5<2x-1<9

Add 1 on all the sides because of the inverse operation.

Which is 6<2x<10

The divide 2 on all sides to isolate x.

Which is 3<x<5.

4 0
3 years ago
How to make a graph of an exponential function that shows exponential decay and has a y intercept of 2
Sliva [168]

Answer:

f(x)=2e^{-kx}

in a graph the x value at the y intercept is 0

f(x)=Ae^{-kx}  is a typical decay function

if x = 0  thus e^{-kx} = 1

so at 0 the function value would be A

f(x)=2e^{-kx}

Step-by-step explanation:

6 0
3 years ago
Someone help me with this
viva [34]
Answer and work is shown in picture :)

i hope you have a lovely rest of your day!

6 0
2 years ago
Kendra walked diagonally across a rectangular field that is 45 m by 65 m. To the nearest tenth of a meter, how far did she walk?
Crazy boy [7]

Answer:

?

Step-by-step explanation:

4 0
2 years ago
Fifteen years ago, you deposited $12,500 into an investment fund. Five years ago, you added an
True [87]

Answer:

a) 8.16%

b) $65,762.50

c) $39,701.07

Step-by-step explanation:

Given:

15 years ago, Initial investment = $12500

5 years ago, Investment = $20000

Nominal interest = 8% semi annually for first 10 years

Interest2= 6.5% compunded annually for last five years

a) for the effective annual interest rate (EAR) in the first 10 years, let's use the formula:

[1+(nominal interest rate/number of compounding periods)]^ number of compounding periods-1

EAR = [1 + (\frac{0.08}{2})]^2 - 1

= (1 + 0.04)^2 - 1

= (1.04)^2 - 1

= 1.0816 - 1

= 0.0816

= 8.16%

The effective annual interesting rate, EAR = 8.16 %

b) To find the amount in my account today.

Let's first find the amount for $12500 for 10 years compounded semi annually

= 12,500 +( 12,500 * 8.160% * 10)

= $ 22,700

Let's also find the amount for $32,500($12,500+$20,000) for 5 Years compoundeed annually

$32,500 + ($32,500 * 6.5% *5)

= $ 43,062.50

Money in account today will be:

$22,700 + $43,062.50

= $65,762.50

c) Let's the amount I should have invested to be X

For first 10 years at 8.160%, we have:

Interest Amount = ( X * 8.160% * 10 ) = 0.8160 X

For next 5 years at 6.5%, we have:

Interest Amount = (X * 6.5% * 5) = 0.325 X

Therefore the total money at the end of 15 Years = 85000

0.8160X + 0.3250X + X = $85,000

= 2.141X = $85,000

X = 85,000/2.141

X = 39,701.074 ≈ $39,700

If I wish to have $85,000 now, I should have invested $39,700 15 years ago

7 0
3 years ago
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