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yKpoI14uk [10]
4 years ago
7

Help please?? If you deposit $750 in an account that pays 8% annual interest compounded continuously, what will the balance be a

fter five years?
Mathematics
1 answer:
Stella [2.4K]4 years ago
7 0
The formula of a continuous compound interest is
A=p e^rt
A the balance?
P present value 750
E constant
R interest rate 0.08
T time 5 years
A=750×e^(0.08×5)
A=1,118.87
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Step-by-step explanation:

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The dance committee of Pine Bluff Middle School earns \$72$72dollar sign, 72 from a bake sale and will earn \$4$4dollar sign, 4
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Answer:

The correct answer is 72 + 4 × x \geq 400.

Step-by-step explanation:

The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance.

The dance will cost $400.

Let x number of tickets the committee could sell.

Total money earned is 72 + 4 × x.

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Thus the inequality to determine the number of tickets the committee could sell to have money left over after they pay for this year's dance is given by,

72 + 4 × x \geq 400.

3 0
3 years ago
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The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°
GenaCL600 [577]

The measure of angle ABC is 45°

<em><u>Explanation</u></em>

Vertices of the triangle are:   A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) =\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5

Length of the side AC (b) = \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}

Length of the side AB (c) = \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}

We need to find ∠ABC or ∠B . So using <u>Cosine rule</u>, we will get...

cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree

So, the measure of angle ABC is 45°

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4 years ago
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Answer:

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Step-by-step explanation:

first you need to solve the first equation to figure out what y is.

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s<em>ubtract 2 from both sides of the equation</em>

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<em>subtract 12x from both sides of the equation</em>

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regardless of what x is, -6 will always equal -6.

so, the answer is all real numbers.

6 0
3 years ago
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