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3 years ago

Fifteen percent of the students in seventh grade at Western Middle School have perfect attendance. There are 220

Mathematics

1 answer:

Kaylis [27]3 years ago

4 0

Answer: 33

Step-by-step explanation:

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suppose you deposit $1000 in an account paying 4.6% annual interest compounded continuously. How long will it take for the money

USPshnik [31]

Answer: About 16 years

Step-by-step explanation:

The formula to find the compound amount if compounded continuously is given by :-

$A=Pe^{rt}$ , where P is Principal amount, r is the rate of interest ( in decimal) and t is time ( in years).

Given : P= $1000 ; r= 4.6%=0.046

let t be the time it will take to double the amount, the we have

$2(1000)=(1000)e^{0.046\times t}$

Dividing 1000 both sides, we get

$2=e^{0.046 t}$

Taking natural log on each side, we get

$\ln2=\ln(0.046\times t)\\\\\Rightarrow\ 0.6931=0.046t\\\\\Rightarrow\ t=\dfrac{0.6931}{0.046}=15.0673913043\approx16\text{ years}$

Hence, it will take about 16 years to double the amount.

3 0

3 years ago

Let the function be f defined by f (x) = 12 - 5x

marissa [1.9K]

(a) No

$f(x) = 12 - 5x$

$f(0) = 12 - 5(0)$

$f(x) = 12 - 0$

$f(x) = 12$

Hence,

f(0) is unequal to 0.

(b)

$f(x) = 12 - 5x$

$f( - 1) = 12 - 5( - 1)$

$f( - 1) = 12 + 5$

$f( - 1) = 17$

(c)

$f(x) = 12 - 5x$

$f(x) = 6$

$6 = 12 - 5x$

$6 - 12 = - 5x$

$- 6 = - 5x$

$6 = 5x$

$\frac{6}{5} = x$

7 0

3 years ago

I need help with this peoblem

zlopas [31]

Answer:

17/27

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

answer #14 for me plss and thank you!!!! pls do not answer if you don't know the answer just comment

olga_2 [115]

Answer:

2, 3

Step-by-step explanation:

The graph of quantities in direct proportion.

Is a straight line passing through the origin, thus

the line always crosses the y- axis at |(0, 0 )

Thus the y- intercept is 0

3 0

3 years ago

NEED HELP QUICK! 20 POINTS!<br><br><br> Use the Law of Sines to find the measure of Angle R:

Troyanec [42]

Answer:

$\large\boxed{m\angle R\approx76^o}$

Step-by-step explanation:

$\dfrac{\sin R}{SQ}=\dfrac{\sin S}{RQ}\\\\\text{We have:}\\\\SQ=32,\ RQ=26,\ S=52^o\to\sin52^o\approx0.788\\\\\text{Substitute:}\\\\\dfrac{\sin R}{32}=\dfrac{0.788}{26}\qquad\text{multiply both sides by 32}\\\\\sin R\approx0.97\to R=\arcsin(0.97)\\\\R\approx76^o$

7 0

3 years ago