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3 years ago

A friend asks to borrow $250 for 18 months and pays 12% annual simple interest how much interest will you earn

Mathematics

1 answer:

Rzqust [24]3 years ago

7 0

Answer: $45

Step-by-step explanation:

Simple interest is calculated as Principal x Rate x Time/100

From the information given,

Principal = $250

Rate = 12% = 12/100 = 0.12

Time = 18 months; because time is given in months, we divide by 12; time is therefore stated as 18/12.

Step 2: Plug the values into the formula:

Simple interest = 250 x 0.12 x 18/12

= $45

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Rob has 96 football cards.Rob filled 3 fewer plastic boxes with football cards than basketball cards.He filled 9 boxes with bask

avanturin [10]

Answer: 16 boxes and 6 football cards in each box.

Step-by-step explanation:

Here total football cards rob has = 96

And, He filled 9 boxes with basketball cards.

Also, Rob filled 3 fewer plastic boxes with football cards than basketball cards.

Therefore, football cards in each boxes = 9 - 3 = 6

Thus, the number of boxes he can fill with football cards = 96/6 =16

7 0

3 years ago

A recent study examined hearing loss data for 1981 U.S. teenagers. In this sample, 369 were found to have some level of hearing

ruslelena [56]

Answer:

There is no enough evidence to support the claim that the proportion of US teens that have some level of hearing loss differs from 20%.

P-value=0.12

Step-by-step explanation:

We have to perform a test of hypothesis on the proportion.

The claim is that the proportion of US teens that have some level of hearing loss differs from 20%.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.20\\\\H_a:\pi\neq0.20$

The significance level is assumed to be 0.05.

The sample, of size n=1981, has 369 positive cases. Then, the proportion is:

$p=X/n=369/1981=0.186$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.2*0.8}{1981}}=\sqrt{ 0.000081 }= 0.009$

Now, we can calculate the statistic z:

$z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.186-0.20+0.5/1981}{0.009}=\dfrac{-0.014}{0.009}=-1.556$

The P-value for this two-tailed test is:

$P-value=2*P(z$

The P-value is below the significance level, so the effect is not significant. The null hypothesis failed to be rejected.

There is no enough evidence to support the claim that the proportion of US teens that have some level of hearing loss differs from 20%.

7 0

3 years ago

Write the equation for the line in slope-intercept form (2,-3) (-1/2) ( HELP PLEASE )

prisoha [69]

Answer:

A linear equation is a fancy term for a straight line, which can be created by joining 2 points.

A point can be defined by (x, y), where x and y are the horizontal distance and the vertical distance respectively from point (0,0) (called the origin).

There are 3 ways to define a line:

(1) The slope-intercept form

y = mx + b, in which m is the slope, b is the y-intercept, where the line crosses the vertical axis at (0, b). If values of m and b are given, you can substitute and write the equation right away.

The slope, m, is calculated by rise (vertical difference between 2 points on the line) divided by run (horizontal difference between the 2 points on the line)

Step-by-step explanation:

or example, if 2 points on the line are

(x1, y1) and (x2, y2)

Then slope = (y1– y2)/(x1 — x2)

If m > 0, then the line rises to the right.

If m = 0, then the line is horizontal.

If m < 0, then the line rises to the left.

If the line is in the form x = c, where c is a constant, then the line is vertical.

(2) Point slope form

m = (y — y1)/(x — x1), when (x1, y1) and m are given.

In other words,

m(x — x1) = y — y1

mx — m(x1) = y — y1

y = mx — m(x1) + (y1)

Note that b = -m(x1) + (y1)

(3) linear form

ax + by + c = 0, where a, b, and c are constants.

3 0

3 years ago

if a truck travels 301 miles on 19 gallons of gas how many miles per gallon does it average (to the nearest tenth)?

Nataly [62]

Answer:

15.8

Step-by-step explanation:

You would divide 301 by 19

5 0

3 years ago

Read 2 more answers

1.Walmart has ice skates on sale for 15% off the regular price. A pair of ice skates usually costs $89. Find the amount of the d

Darya [45]

Discount - 13.35 sale price - 75.65

4 0

3 years ago