Simplify: 21j-26+4j=21+6-2j

Janet needs 1.25 ft of fabric to make a scarf. If she buys a 20 yd roll of fabric, how many scarves can she make?

Reptile [31]

Answer:

the answer is 16 i think

Step-by-step explanation:

you need to divide 20 and 1.25 and you will get 16 so the answer is 16

7 0

3 years ago

At noon, the temperature outside was 25 degrees. By 8:00pm, the temperature had dropped 27 degrees. What was the temperature out

Deffense [45]

Answer:

-2

Step-by-step explanation:

25°-27°= -2°

6 0

3 years ago

Read 2 more answers

Let f(x) = 3x +5 and g(x) = -4x +7. Find (fog)(-4)

sesenic [268]

(fog)(x)=f(g(x))

f(g(x))=3(-4x+7)+5
f(g(-4))=3(-4(4)+7)+5=3(-16+7)+5=3(-9)+5=-27+5=-22

(fog)(-4)=-22

7 0

3 years ago

What is the formula to calculate distance from the rate of speed?

bija089 [108]

Answer:

distance = speed × time

Step-by-step explanation:

The relationship between time, speed, and distance is expressed by the units we use to report speed:

speed = miles per hour

In generic terms, ...

speed = distance/time

To calculate distance, multiply both sides of this equation by time:

distance = speed × time

5 0

3 years ago

Karen wants to invest $750 per quarter for a period of 25 years in order to accumulate a value of $120,000. What minimum annual

Anika [276]

Answer:

Step-by-step explanation:

For Compound Interest with continuous deposit,

We have that:

$\frac{dS}{dt}=rS+k$

$\frac{dS}{dt}-rS=k$

Using Integrating factor: $e^{\int\ {-r} \, dt }$ = $e^{-rt}$

$\frac{dS}{dt}e^{-rt}=ke^{-rt}$

Taking Integrals from 0 to t

$Se^{-rt}=\frac{k}{-r}e^{-rt}+C\\S=\frac{k}{-r}+Ce^{rt}\\When t=0\\C=S_{0}+\frac{k}{r}$

Now substituting back C

We have:

$Se^{-rt}=\frac{k}{-r}e^{-rt}+S_{0}+\frac{k}{r}\\S(t)=S_{0}e^{rt}+\frac{k}{r}-\frac{k}{r}e^{rt}\\S(t)=S_{0}e^{rt}+\frac{k}{r}(1-e^{rt})$

If initial deposit =$750, Continuous Deposit = 750, t= 4X 25 years=100

$S(t)=S_{0}e^{rt}+\frac{k}{r}(1-e^{rt})\\120000=750e^{100r}+\frac{750}{r}(1-e^{100r})\\160=e^{100r}+\frac{750}{r}-\frac{750}{r}e^{100r}\\$

5 0

3 years ago