All categories

3 years ago

$1,350 earns 4.5% annual simple interest for 7 years

Mathematics

1 answer:

likoan [24]3 years ago

4 0

Answer:

what's the question?

You might be interested in

Find two consecutive integers whose sum is 77

Semenov [28]

Answer:

Step-by-step explanation:

The difference between two consecutive integers is 1

So if

x - the smaller number

then

x+1 - the larger number

x + x+1 = 77

-1 -1

2x = 76

÷2 ÷2

x = 38

x+1 = 38+1 = 39

7 0

3 years ago

Evaluate tan(cos^-1 3/5) and assume that all angles are in Quadrant I.

lorasvet [3.4K]

Answer:

Option c

Step-by-step explanation:

We assume that the angle is in the first quadrant.

Observe the attached image.

if $u = cos ^{-1}(\frac{3}{5})$

So:

$cosu = \frac{3}{5}$

By definition:

$cosu= \frac{adjacent}{hypotenuse}$

So:

adjacent side = 3

hypotenuse = 5.

Observe the attached image

We find the opposite side "x" using the Pythagorean theorem.

$x=\sqrt{5^2 -3^2} \\x = 4$

Then, for the angle u:

$tanu = \frac{opposite}{adjacent}\\\\tanu = \frac{x}{3}\\\\tanu = \frac{4}{3}$

4 0

3 years ago

A jar contains jelly beans that are red, yellow, blue, and purple. Several people reach in and grab handfuls of jelly beans, the

dem82 [27]

Total jellybeans pulled out: 15 + 20 + 12 + 8 = 55

Proportion of yellow jellybeans: 20 / 55 = 4/11

(4/11) * 22 = 8.

Answer: 8

3 0

4 years ago

Simplify (x^3/8)^3/4

Viktor [21]

When an exponent is raised to another exponent, you can multiply the powers to simplify them.

3/8*3/4

<em>*Multiply numerators*</em>

3*3=9

<em>*Multiply denominators*</em>

8*4=32

x^9/32

Hope this helps!!

4 0

3 years ago

Read 2 more answers

simplify the following expression: (x+7/4x) + (5/x-8) I also attached a photo of the problem if you get confused on how I typed

Gnoma [55]

Answer:

$\frac{x^{2} + 19x - 56}{4 {x}^{2} - 32x}$

Step-by-step explanation:

Start by making the denominators of both fraction the same. This can be done by multiplying one fraction's denominator by the other.

After simplifying and combining the two fractions together, check if the numerator can be factorised such that there is a common factor in the denominator and numerator. In this case, the numerator cannot be factorised.

Lastly, expand the denominator.

$\frac{x + 7}{4x} + \frac{5}{x - 8}$

$= \frac{(x + 7)(x - 8)}{4x(x - 8)} + \frac{5(4x)}{4x(x - 8)}$

$= \frac{x(x) + x( - 8) + 7(x) + 7( - 8) + 20x}{4x(x - 8)}$

$= \frac{ {x}^{2} - 8x + 7x - 56 + 20x }{4x(x - 8)}$

$= \frac{ {x}^{2} + 19x - 56}{4x(x - 8)}$

$= \frac{ {x}^{2} + 19x - 56}{4 {x}^{2} - 32x}$

7 0

2 years ago