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marusya05 [52]
2 years ago
5

Anna also wants to travel after graduation but she isn’t working while in school so she won’t be able to put money aside regular

ly. However, her grandmother gave her the generous gift of $2500 for her birthday and suggested she invest it in a GIC because it’s low risk. She shopped around and found a 4 year GIC investment that earns 2.8% interest annually. How much will Anna have at the end of her four year investment?
Mathematics
1 answer:
Molodets [167]2 years ago
6 0

Answer:

She will have $2792 at the end of her four year investment

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Gift of $2500:

This means that P = 2500

She shopped around and found a 4 year GIC investment that earns 2.8% interest annually.

This means that t = 4, r = 0.028, n = 1.

How much will Anna have at the end of her four year investment?

This is A(4). So

A(t) = P(1 + \frac{r}{n})^{nt}

A(4) = 2500(1 + 0.028)^{4} = 2792

She will have $2792 at the end of her four year investment

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Write 11/3 as a mixed number<br> Write 2 4/5 as an improper fraction<br> Please help!!
kaheart [24]

Answer:

11 over 3 is 2 and 2/3. 2 4/5 is 14/5

Step-by-step explanation:

When making a fraction a mixed number, divide the numerator by the denominator. What ever number you have left will be ur numerator,and denominator always stays the same. Making fractions improper: multiply denominator by the whole number (2) and then add the numerator to the answer. denominator stays the same.

4 0
2 years ago
If 4sintheta = -3, solve for theta given 0°&gt;_theta&gt;_360°
Soloha48 [4]

Answer:

311.41 degrees

Step-by-step explanation:

If 4 sin Ф = -3 and Ф is between 0 and 360 degrees, then we conclude that Ф must be either in Quadrant III or Quadrant IV (because the sine is negative).

Let's assume we're in Quadrant IV.  Then sin Ф = opp / hyp = -3/4; that is, the opp side is negative and has length 3, and the hypo is positive 4.

According to the Pythagorean Theorem,  (-3)^2 + x^2 = 4^2, or,

x^2 = 16 - 9 = 7.

Then x is either √7 or -√7.

To find the angle Ф, use the inverse sine function:

Ф = arcsin (-3/4).  Using a calculator we get the angle -40.59 degrees, which corresponds to (360 degrees - 40.59 degrees), or 311.41 degrees.  We can check this by finding the sine of 311.41 degrees; the result is -0.75, which matches "If 4sintheta = -3."  

6 0
2 years ago
Find the values of x and y.
babunello [35]

Answer:

x=21°. :Angles subtended by the same arc

y=42°. :180-(117+21),angles subtended by the same arc

8 0
3 years ago
Wendy is helping her mom put candy in 217 giftbagd. Each bag has 7 pieces of candy. She already put 58 pieces of candy in the ba
Ganezh [65]

Answer:

406 pieces. If you multiply 58 times 7 you get 406. 406 divided by 58 is 7.

4 0
2 years ago
Choose the congruence theorem that you would use to prove the triangles congruent.
Elena L [17]

<u><em>Answer:</em></u>

SAS

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

<u>Before solving the problem, let's define each of the given theorems:</u>

<u>1- SSS (side-side-side):</u> This theorem is valid when the three sides of the first triangle are congruent to the corresponding three sides in the second triangle

<u>2- SAS (side-angle-side):</u> This theorem is valid when two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

<u>3- ASA (angle-side-angle):</u> This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

<u>4- AAS (angle-angle-side):</u> This theorem is valid when two angles and a side that is not included between them in the first triangle are congruent to the corresponding two angles and a side that is not included between them in the second triangle

<u>Now, let's check the given triangles:</u>

We can note that the two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

This means that the two triangles are congruent by <u>SAS</u> theorem

Hope this helps :)

5 0
3 years ago
Read 2 more answers
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