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kow [346]
3 years ago
5

How much change will I receive from $100 after spending $75.34 on paint?

Mathematics
1 answer:
fredd [130]3 years ago
5 0

Answer:

You will receive $24.66 in change.

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(a)It takes 51
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a) Given :

51 pounds of seed  can be planted in = 9 acre field.

Per pound of seed = \frac{9 \ acre}{51 \ pounds \ of \ seed}

We can convert 9/51 in simplest fraction by dividing top and bottom by 3.

We get

\frac{9/3}{51/3}=\frac{3}{17}

<h3>Therefore, 3/17 of an acrs can be planted per pound of seed.</h3>

b) $10 amount = 16 pounds of sugar.

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2 years ago
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A.) 588329.896

B.) 274300

C.) 1657.18474

D.) 1.002

(All answers unrounded.)

Explanation:

I converted each unit to the unit used in the other number (E.g., for question A I converted tons to kilograms, and then finished solving.)

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2 years ago
Determine whether the sequence converges or diverges. If it converges, give the limit.
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Answer:

The given series converges and \lim_{n \to \infty} a_n =0

Step-by-step explanation:

Given is 108, -18, 3,...

It is an alternate series. An alternate series is convergent if:

1. The series is decreasing.

2. If the last term (n-th term) of series converges to 0.

<u>Since each next term is less than its preceding term, so it is decreasing.</u>

First term, a = 108

Second term = -18

Common ratio, r = -18/108 = -1/6

General term, aₙ = a*rⁿ = 108*(-1/6)ⁿ

<u>When n increases to infinity, the exponent term will decreases to zero, and last term (n-th term) will converge to 0 as well.</u>

Hence, the given series converges.

Now limit will be: \lim_{n \to \infty} a_n

\lim_{n \to \infty} 108*(-1/6)^n \\= 108*(-1/6)^\infty \\= 108*(1/\infty) \\= 108*0 \\= 0

Hence, \lim_{n \to \infty} a_n =0

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3 years ago
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