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3 years ago

15

The mapping N(t), whose mapping diagram is shown below, is a function?

1 answer:

Black_prince [1.1K]3 years ago

6 0

The answer is true because the X (to the right) values does not repeat itself

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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

What is the answer for 2x-5+6

julsineya [31]

2x - 11 is the answer because you don’t know what x is equal to

5 0

2 years ago

Read 2 more answers

What’s 1 decade and 8 years minus 9 years

san4es73 [151]

One decade is 10 years+ 8 years is 18 total years
18 minus 9 is 9 years
Hope this helps

6 0

3 years ago

Read 2 more answers

Find the measure of the indicated angle to the nearest degree

omeli [17]

$\boxed{\sf sin\Theta=\dfrac{P}{H}}$

$\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}$

$\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}$

$\\ \sf\longmapsto sin\Theta=0.5$

Convert to p/q form

$\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}$

$\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}$

$\\ \sf\longmapsto sin\Theta=sin30$

$\\ \sf\longmapsto \Theta\approx30°$

4 0

3 years ago

Brainly plz help only three questions

larisa86 [58]

Answer for no.9:

144.5cm^2

Step-by-step explanation:

base of triangle = 34cm-17cm

=17cm

Area =bh/2

=17cm×17cm/2

=289cm^2/2

=144.5cm^2

4 0

2 years ago