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DerKrebs [107]
1 year ago
7

To become a member of the book-of-the-month club there is a $40 sign-up fee and a $2 monthly fee. What is the total cost of bein

g a book-of-the-month club member for 19 months?
Mathematics
1 answer:
wariber [46]1 year ago
6 0

Answer: $78 for 19 months

Step-by-step explanation:

$40 for sig-up

$2 monthly fee

Duration: 19 months

Total cost

 = 40 + 2(19)\\= 40 + 38\\= 78

You might be interested in
Rich also has £400 pounds invest 3% compound interest . How many years does he need to invest the money to get at least £475
zepelin [54]

Answer: 6 years

Step-by-step explanation:

Formula to calculate compound amount: A=P(1+r)^t, where P= Principal , r=rate of interest, t= time

Given: P = £400, r = 3% = 0.03 , A= 475

Required equation: 400(1+0.03)^t\geq475

400(1.03)^t\geq475\\\\\Rightarrow\ (1.03)^t\geq\dfrac{475}{400}\\\\\Rightarrow\ (1.03)^t\geq1.1875

Taking log on both sides , we get

t \log 1.03\geq\log1.1875\\\\\Rightarrow\ t(0.0128372)\geq(0.0746336)\\\\\Rightarrow\ t\geq\dfrac{0.0746336}{0.0128372}=5.81385\approx6

Hence, he needs to invest the money for 6 years to get atleast £475.

7 0
2 years ago
Zachary purchased a computer for 1100 on a payment plan. 4 months after he purchased the computer, his balance was $755. Five mo
NeTakaya

Answer:

Model is

b = 115m + 65

The slope represents the amount of balance offset per month

Step-by-step explanation:

Here, we want to model an equation.

The equation to model will be in the form;

y = mx + c

we have the following points to consider

The points are in the form;

(number of months, balance)

(m , b)

So the points we have are;

(4,755) and (5,640)

So the slope will be ;

(y2 -y1)/(x2-x1) = (755-640)/(5-4) = 115

So the equation will be;

b = am + c

where a is the slope and c is the y intercept

we already have the slope

so equation becomes;

b = 115m + c

let’s get the y-intercept

we can get the y-intercept by any of the points;

That would be; let’s use (5,640)

640 = 5(115) + c

640 = 575 + c

c = 640 -575

c = 65

So the equation of the model is;

b = 115m + 65

The slope represents the balance per month

5 0
3 years ago
7t=x,for t .what is the formula
Andrei [34K]

The formula for t would be x/7.

In order to find this, we simply follow the order of operations to solve for t.

7t = x ----> Divide both sides by 7

t = x/7

6 0
2 years ago
What is the sum of the first eight terms of the series?
Ray Of Light [21]
Observe that as the series progresses, the term decreases by 1/4. To show this, observe the first four terms of the series below.

-200 = (1/4)(-800)
-50 = (1/4)(-200)
-12.5 = (1/4)(-50)

Since we have a common ratio, r, of 1/4, we can use the properties of a geometric series to find the 8th term of the series.

Recall that to find the sum of the nth term of a geometric series, we have

S_{n} = a(\frac{1-r^{n}}{1-r})

where a is the first term of the series and r is the ratio.

So, for the first eight terms, we have

S_{8} = -800(\frac{1-(\frac{1}{4})^8}{1- \frac{1}{4}})
S_{8} \approx -1066.65

Therefore, the sum of the 8th series is approximately -1066.65. 

Answer: -1066.65
3 0
3 years ago
Read 2 more answers
On school days, Rosalie bikes 5 miles. On Saturdays, she bikes 15 miles. Last month there were 21 school days and 4 Saturdays. W
marusya05 [52]
multiply 5 times 21 then 4 times 15 and then add them together
3 0
3 years ago
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