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2 years ago

Bonnie deposits $70.00 into a new savings account.

Mathematics

1 answer:

serg [7]2 years ago

4 0

Answer:

B. $79.45

Step-by-step explanation:

The equation for simple interest is I = PRT, where I = interest earned, P = principal/amount invested, R = rate as a decimal, and T = time in years.

For this example, we'll calculate the interest earned, then add to the principal to get the total amount of money in her account.

I = (70)(0.045)(3)

I = 9.45

70 + 9.45 = $79.45

Please let me know if you have questions.

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The edge of each cube used to build this rectangular prism is 13 inch long. Which equation shows the volume of the prism, in cub

Vikki [24]

Dont see any answer choices... but Volume= L*W*H

A cube, the sides are equal. So 13^3 or 13*13*13 = the volume of the cube. Then work your way to the rectangular prism.

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2 years ago

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Elena L [17]

16 1/2 is the answer

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2 years ago

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If the largest angle of a triangle is 120° and it is included between sides of 1.5 and 0.5, then (to the nearest tenth) the larg

12345 [234]

Answer:

1.8 units.

Step-by-step explanation:

The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of the largest side of the triangle. The cosine rule is:

b^2 = a^2 + c^2 - 2*a*c*cos(B).

The question specifies that a=0.5, B=120°, and c=1.5. Plugging in the values:

b^2 = 0.5^2 + 1.5^2 - 2(0.5)(1.5)*cos(120°).

Simplifying gives:

b^2 = 3.25.

Taking square root on the both sides gives b = 1.8 (rounded to the nearest tenth).

This means that the length of the third side is 1.8 units!!!

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2 years ago

QUICK!!!

Svetlanka [38]

Answer:

Option B is the right choice.

Step-by-step explanation:

Given:

An are CE and an inscribed angle CBE.

Measure of inscribed angle CBE = 25 °

We have to find the measure of the arc CE.

Concept:

An inscribed angle is an angle with its vertex on the circle.
The measure of an inscribed angle is half the measure the intercepted arc.
Measure of inscribed angle = 1/2 × measure of intercepted arc .

To find the measure of arc CE.

⇒ $\angle CBE = \frac{1}{2} \times m\ (arc\ CE)$

⇒ $2\times \angle CBE = m\ (arc\ CE)$

⇒ $2\times 25 = m\ (arc\ CE)$

⇒ $50 = m\ (arc\ CE)$

Measure of intercepted arc CE = 50 degrees.

The measure of arc CE = 50° so, option B is the right choice.

4 0

2 years ago

Use Gauss's approach to find the following sums (do not use formulas). 1+3+5+7+...999

muminat

$S=1+3+5+\cdots+995+997+999$
$S=999+997+995+\cdots+5+3+1$
$\implies 2S=(1+999)+(3+997)+(5+995)+\cdots+(995+5)+(997+3)+(999+1)$

$2S=\underbrace{1000+1000+\cdots+1000+1000}_{500\text{ times}}$

(We are adding 500 instances of 1000 because that's how many odd numbers there are between 1 and 1000, inclusive.)

$2S=500\times1000=500000$
$\implies S=250000$

4 0

3 years ago