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abruzzese [7]
3 years ago
15

PLEASE HELP!!!!!!!!!!!!!

Mathematics
1 answer:
Gwar [14]3 years ago
4 0

Is there an image or some information about the line?

I can't tell you which of these is true without more information.

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Question: Antonio is working with a new geometric series generated by the equation A(n)=20(1.1)^n-1.His sister challenged him to
Mekhanik [1.2K]

Answer:

sum of 22nd = 1,428.05

sum of 23 to 40 is 932.53

Step-by-step explanation:

A(n)=20(1.1)^n-1

20 is the first term or a1

1.1 is the common ratio or r

A(22) = 20(1.1)^22-1

22nd term = 20(1.1)^21

22nd term = 148.00

sum of geometric sequence

formula

Sn = a1(1-r^n)/1-r

Sn = sum

a1 = first term

n = number of term

r = constant ratio

sum of 22nd = 1,428.05.

23 to 40 is 17 terms

Sequence: 23, 25.3, 27.83, 30.613, 33.6743, 37.04173, 40.745903 ...

The 17th term: 105.684378686

Sum of the first 17 terms: 932.528165548

socratic

miniwebtoolcomgeometricsequencecalculator

6 0
2 years ago
Alma invests $300 in an account that compounds interest annually. After 2 years, the balance of the account is $329.49. To the n
-Dominant- [34]

Invested amount (P) = $300.

Time in years (t) = 2 years.

Balance after 2 years (A) = $329.49.

Let us assume rate of interest = r % compounds annually.

We know, formula for compound interest

A=P(1+r)^t

Plugging values in formula, we get

329.49=300(1+r)^2

\mathrm{Divide\:both\:sides\:by\:}300

\frac{300\left(1+r\right)^2}{300}=\frac{329.49}{300}

\left(1+r\right)^2=1.0983

Taking square root on both sides, we get

1+r=\sqrt{1.0983}

\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}

1+r-1=\sqrt{1.0983}-1

r=\sqrt{1.0983}-1

r=1.048-1

r=0.048.

Converting it into percentage by multiplying by 100.

r=0.048 × 100

r  = 4.8 %

Therefore, the rate of interest on the account is 4.8% compounds annually.

5 0
3 years ago
7 divided by 798 for homework
Allushta [10]
<span>7 divided by 798 is

1/114 for fraction form

0.008871989860583 for decimal form</span>
4 0
3 years ago
A wheelchair ramp is in the shape of a triangular prism has a base area of 37.4 yd.² and a height of 5 yards find the volume of
scoundrel [369]
We know that

[volume of the ramp]=[area of the base]*height 
area of the base=37.4 yd²
height=5 yd
so
[volume of the ramp]=[37.4]*5----> 187 yd³

the answer is
the volume of the ramp is 187 yd³
6 0
3 years ago
Can someone help with art plz...
belka [17]
What art? May you add additional words so that i may assist you?
7 0
3 years ago
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