Ask question

Ask question

All categories

3 years ago

15

I’m in need of help. It’s slope-intercept form

1 answer:

strojnjashka [21]3 years ago

6 0

Answer:

95

Step-by-step explanation:

Well by logic is that you should multiply 12x5 since she’s writing 12 pages per month. Then add 35 because shes starting with 25 pages initially. The answer should be 95.

To further understand with slope intercept form: You can see it more visually if you go to desmos-graphing calculator and you input y=12x+35, you‘ll see that at 5, she will have written 95 pages. Hopefully this helps!

You might be interested in

If Tanisha has $1000 to invest at 7% per annum compounded semiannually, how long will it be before she has $1600? If the co

Sphinxa [80]

Answer:

Using continuous interest 6.83 years before she has $1600.

Using continuous compounding, 6.71 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

The amount of money earned after t years in continuous interest is given by:

$P(t) = P(0)e^{rt}$

In which P(0) is the initial investment and r is the interest rate, as a decimal.

If Tanisha has $1000 to invest at 7% per annum compounded semiannually, how long will it be before she has $1600?

We have to find t for which $A(t) = 1600$ when $P = 1000, r = 0.07, n = 2$

$A(t) = P(1 + \frac{r}{n})^{nt}$

$1600 = 1000(1 + \frac{0.07}{2})^{2t}$

$(1.035)^{2t} = \frac{1600}{1000}$

$(1.035)^{2t} = 1.6$

$\log{1.035)^{2t}} = \log{1.6}$

$2t\log{1.035} = \log{1.6}$

$t = \frac{\log{1.6}}{2\log{1.035}}$

$t = 6.83$

Using continuous interest 6.83 years before she has $1600

If the compounding is continuous, how long will it be?

We have that $P(0) = 1000, r = 0.07$

Then

$P(t) = P(0)e^{rt}$

$1600 = 1000e^{0.07t}$

$e^{0.07t} = 1.6$

$\ln{e^{0.07t}} = \ln{1.6}$

$0.07t = \ln{1.6}$

$t = \frac{\ln{1.6}}{0.07}$

$t = 6.71$

Using continuous compounding, 6.71 years.

7 0

3 years ago

A typical combine harvester sells for $500,000. If the value of the combine depreciates 5.41% each

aivan3 [116]

Answer:

13 years

Step-by-step explanation:

Initial value = $500000
Depreciation rate = 5.41% each year
Target value = 1/2*$500000 = $250000
Number of years = x

Depreciation can be expressed as function:

d(x) = 500000*((100 - 5.41)/100)^x
d(x) = 500000*0.9459^x

Having the final value of $250000, we can find x:

250000 = 500000*0.9459^x
0.5 = 0.9459^x
log 0.5 = x log 0.9459
x = log 0.5 / log 0.9459
x = 12.46 ≈ 13 years rounded

6 0

3 years ago

If you want to rent bikes for you and your friend and the bike cost $3.25 per hour how much money do you have to have for 5 hour

kirza4 [7]

Answer: if you are paying for you and your friends bike rentals, it is $32.50

Step-by-step explanation:

3.25x10 (2)

5 0

3 years ago

Which number is in the hundredths place 4982.6173

ipn [44]

1 is in the hundredths place.

6 0

4 years ago

PLEASE Hurry If f(x)=7x2−2 and g(x)=2(x−7)2 , which is an equivalent form of f(x)−g(x) ? A 5x2−100 B 5x2+28x−100 C 5x2+14x−51 D

Ksju [112]

Answer:

5x^2 +28x - 100

Step-by-step explanation:

f(x)=7x^2−2 and g(x)=2(x−7)^2

First simplify g(x)

g(x) = 2 ( x-7)(x-7) = 2( x^2 - 7x -7x +49) = 2(x^2 -14x +49) = 2x^2 -28x +98

Now f(x) - g(x)

f(x) - g(x) = 7x^2−2 - (2x^2 -28x +98)

Distribute the minus sign

= 7x^2−2 - 2x^2 +28x -98

Combine like terms

= 5x^2 +28x - 100

8 0

3 years ago