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3 years ago

What type of function has exactly one output for each input? Balanced, even, one-to-one, onto

Mathematics

1 answer:

Mrac [35]3 years ago

8 0

Answer:

A balanced function

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Compound interest In Exercise,$3000 is invested in an account at interest rate r,compounded continuously.Find the time required

xenn [34]

Answer:

(a) 8.15

(b) 12.92

Step-by-step explanation:

Given: P = $3000, r = 0.085

$A = Pe^{rt}$

Where

A is the Amount

P is the Principal

r is the rate

t is the time

(a) For the amount to double, A = 2 × P

A = 2 × $3000

A = $6000

$6000 = 3000e^{0.085t}$

$\frac{6000}{3000} = e^{0.085t}$

$2 = e^{0.085t}$

Take $log_{e}$ of both sides

$log_{e}2 = log_{e}e^{0.085t}$

But $log_{e}e = 1$

∴ $ln2 = 0.085t$

$t = \frac{ln2}{0.085}$

$t = \frac{0.693}{0.085}$

t = 8.15

(b) For the amount to double, A = 3 × P

A = 3 × $3000

A = $9000

$9000 = 3000e^{0.085t}$

$\frac{9000}{3000} = e^{0.085t}$

$3 = e^{0.085t}$

Take $log_{e}$ of both sides

$log_{e}3 = log_{e}e^{0.085t}$

But $log_{e}e = 1$

∴ $ln3 = 0.085t$

$t = \frac{ln3}{0.085}$

$t = \frac{1.0986}{0.085}$

t = 12.92

5 0

3 years ago

Solve by inspection: X+4=15

amid [387]

x + 4 = 15

- 4 -4

x = 11

You would subtract 4 because you need to isolate the x to get the value of x. You would subtract it to both sides because whatever you do on one side, you have to do it to the other side.

7 0

3 years ago

Read 2 more answers

)) Evaluate the expression for b = 7.<br> 11b - 75 =

Wewaii [24]

Answer:

The answer is 2.

Step-by-step explanation:

11(7) - 75

77-75

7 0

3 years ago

Which ordered pair is a solution of the equation y=-9+4 (10,-86) or (-4,-58) or (6,-41) (-6,57)

arlik [135]

Which ordered pair is a solution of the equation y=-9+4 (10,-86)

7 0

3 years ago

Which deal is better? 10 slices of cheese at $2.48 or 12 slices of cheese at $3.18?

rusak2 [61]

Answer: 10 Slices

Step-by-step explanation:

10 slices of cheese is about $0.24 a slice.

12 Slices of cheese is about $0.26 a slice.

So 10 slices is the better deal.

3 0

2 years ago