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3 years ago

If money in a savings account earned 8% interest per annum, how much nterest would be earned on $150.00 over three years?

Mathematics

1 answer:

Pani-rosa [81]3 years ago

7 0

Answer:

$36

Step-by-step explanation:

Given :

Interest rate, r = 8% = 0.08

Principal, P = 150

Time, t = 3 years

Simple interest = (principal * rate * time)

Simple interest = (150 * 0.08 * 3)

Simple interest = $36

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PRE ALGEBRA / PLEASE HELP!!||| How many kilometers is it from the main gate to the Manatee Springs? (Hint: to convert from yards

mars1129 [50]

Answer:

6.04 km (per angle marks)
5.36 km (per side hash marks)

Step-by-step explanation:

Going by the angle indicators, the ratios of corresponding sides of the similar triangles are ...

x/2000 = 4200/3500

x = 2000·6/5 = 2400 . . . . yards

Then the distance of interest is ...

(2400 yd + 4200 yd)×(0.0009144 km/yd) = 6.6×.9144 km

= 6.03504 km ≈ 6.04 km

_____

Going by the red hash marks, the ratios of corresponding sides of the similar triangles are ...

x/2000 = 3500/4200

x = 2000·(5/6) = 5000/3 . . . . yards

Then the distance of interest is ...

(5000/3 + 4200) yd × 0.0009144 km/yd ≈ 5.36 km

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<em>Comment on the figure</em>

The usual geometry here is that the outside legs (opposite the vertical angles) are parallel, meaning that the angle indicators are the correct marks. It is possible, but unusual, for the red hash marks to be correct and the angle indicators to be mismarked. The red hash marks seem tentatively drawn, so seem like they're more likely to be the incorrect marks.

7 0

2 years ago

Read 2 more answers

Calculating Profit Using this table, calculate the profit at each level of bicycle production. One bike: -$ Two bikes: $ Three b

leonid [27]

Answer:

1~30

2~3

3~40

4~70

5~90

6~90

7~80

Step-by-step explanation:

subtract the total revenue from the total cost

8 0

3 years ago

A genetic experiment involving peas yielded one sample of offspring consisting of 420 green peas and 174 yellow peas. Use a 0.01

slavikrds [6]

Answer:

a) $z=\frac{0.293 -0.23}{\sqrt{\frac{0.23(1-0.23)}{594}}}=3.649$

b) For this case we need to find a critical value that accumulates $\alpha/2$ of the area on each tail, we know that $\alpha=0.01$ , so then $\alpha/2 =0.005$ , using the normal standard table or excel we see that:

$z_{crit}= \pm 2.58$

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis at 1% of significance.

Step-by-step explanation:

Data given and notation

n=420+174=594 represent the random sample taken

X=174 represent the number of yellow peas

$\hat p=\frac{174}{594}=0.293$ estimated proportion of yellow peas

$p_o=0.23$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion of yellow peas is 0.23:

Null hypothesis: $p=0.23$

Alternative hypothesis: $p \neq 0.23$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.293 -0.23}{\sqrt{\frac{0.23(1-0.23)}{594}}}=3.649$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z>3.649)=0.00026$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis.

b) Critical value

For this case we need to find a critical value that accumulates $\alpha/2$ of the area on each tail, we know that $\alpha=0.01$ , so then $\alpha/2 =0.005$ , using the normal standard table or excel we see that:

$z_{crit}= \pm 2.58$

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis at 1% of significance.

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3 years ago

Slope for (1,5) (3,4)

frez [133]

Answer:

-1,2

Step-by-step explanation:

4-5=-1

3-1=2

y2-y1

x2-x1

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2 years ago

Put the following equation of a line into slope-intercept form 4x+3y=-21

s2008m [1.1K]

Answer: Y=( $\frac{4}{3}$ ) x-7

Step-by-step explanation:

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2 years ago