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Serjik [45]
4 years ago
5

Find the remainder when x square-5x+3 is divided by x-3.

Mathematics
1 answer:
Over [174]4 years ago
3 0
The remainder is (x-2)
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Ellen has recently inherited $5400, which she wants to deposit into a CD account. She has determined that her two best bets are
trapecia [35]

Answer:

Interest for case 2 is more i.e at interest rate 5.3% compounded quarterly

Step-by-step explanation:

Data provided in the question:

Principle amount = $5400

let us calculate the interest for t = 1 year

Case 1:

Rate of interest, r = 4.1%

Compounded semi-annually i.e number of periods, n = 2

Therefore,

Interest = Principle × \left( 1 + \frac{r}{n} \right)^{\Large{n\times t}} - Principle

on substituting the respective values, we get

Interest = $5400 × \left( 1 + \frac{0.041}{2} \right)^{\Large{2\times1}} - $5400

or

Interest = $5400 × 1.0205² - $5400

or

Interest = $5623.67 - $5400

= $223.67

Case 2:

Rate of interest, r = 5.3% = 0.053

Compounded quarterly i.e number of periods, n = 4

Therefore,

Interest = Principle × \left( 1 + \frac{r}{n} \right)^{\Large{n\times t}} - Principle

on substituting the respective values, we get

Interest = $5400 × \left( 1 + \frac{0.053}{4} \right)^{\Large{4\times1}} - $5400

or

Interest = $5400 × 1.01325⁴ - $5400

or

Interest = $5691.94 - $5400

= $291.94

Hence,

interest for case 2 is more i.e at interest rate 5.3% compounded quarterly

6 0
3 years ago
Living with parents: A Pew Research analysis stated that in 2012, 36% of the nation’s young adults ages 18 to 31—the so-called M
Galina-37 [17]

Answer:

b.0.02

Step-by-step explanation:

As he defined the significance level in α=0.05, and this is a one-side test (as the claim is that the percentage is <em>higher, </em>not lower), any P-value below the significance level shows a significant effect and gives evidence to reject the null hypothesis.

The P-value represents the probability of having this sample statistic, given that the statement of the null hypothesis is true. Then, the lower the P-value, more evident is that the null hypothesis is not correct. This threshold value to reject (or not) the null hypothesis is the significance level.

a) As the significance level is 0.05, a P-value=0.07 would not be low enough to reject the null hypothesis.

c) The magnitude of a P-value has impact on whether he rejects or fails to reject the null hypothesis, as is the value that is compared to the significance level to reject or not the null hypothesis.

7 0
3 years ago
Which represents the inverse of the function f(x) = 4x?
Zigmanuir [339]
Try D ?????!!!!!!!!!!!!
4 0
4 years ago
Find the first, fourth, and eighth terms of the sequence. A(n) = –5 • 3n–1 please help me
Korvikt [17]

Answer:

First term: -10

Fourth term: -55

Eighth term: -115

Step-by-step explanation:

I am assuming the means -5(3n-1). To find the first term, plug in 1. You will get -5(3*1-1) or -5*2 or -10.

To find the fourth term, plug in 4. You will get -5(3*4-1) or -5*11 or -55.

To find the eighth term, plug in 8. You will get -5(3*8-1) or -5*23 or -115.

So the answers are -10, -55, and -115.

6 0
4 years ago
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Which system.of equations is represented in the graph?
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Where is the graph.
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