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dem82 [27]
3 years ago
13

You invest $500 in an account that has a annual interest rate of 5%, compounded quarterly for four years. What is the equivalent

interest rate, and how many times will the money be compounded

Mathematics
1 answer:
posledela3 years ago
3 0

Answer:

1.25% and 16 times

Step-by-step explanation:

Since the interest is compounded quarterly it will be compounded 4 times a year. So 4 x 4 is 16, so it will be compounded 16 times.

Then you have to divide the 5% by four to get how much will be compounded each quarter. So, (0.05 / 4) = 0.0125, which is 1.25%.

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Plssssss I neeed help I will mark brainlist
svetlana [45]

Answer:

so i think it is rst on the right

7 0
3 years ago
A student has a 2% salt water solution and a 7% salt water solution. To best imitate salt water at a local beach, he needs 1 lit
FromTheMoon [43]

Let

x-------> the amount of 2\% solution

y--------> the amount of 7\% solution

we know that

2\%=0.02\\7\%=0.07\\3.5\%=0.035

so

x+y=1

y=1-x -------> equation A

0.02x+0.07y=0.035 -------> equation B

substitute equation A in equation B

0.02x+0.07(1-x)=0.035

0.02x+0.07-0.07x=0.035

0.05x=0.035

x=0.7\ liters

find the value of y

y=1-x

y=1-0.7=0.3\ liters

therefore

The student need 0.7\ liters of 2\% solution and 0.3\ liters of 7\% solution

<u>the answer is</u>

A) The percent values were written incorrectly in the equation

B) The amount of 7% solution should be written as 1 – x, not x – 1.

8 0
3 years ago
Read 2 more answers
(-2 1/3 to the third power) divided by (1 7/8)
yuradex [85]

Answer:

-2744/405

Step-by-step explanation:


4 0
3 years ago
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A submarine left Diego Garcia five hours before a cruise ship. The ships traveled in opposite directions. The cruise ship travel
Rina8888 [55]

Answer:

The speed of the submarine is 15.429 miles per hour.

Step-by-step explanation:

Let suppose that both ships travel at constant velocities. As we know that both travel in opposite directions, it is supposed that cruise ship moves in +x direction, whereas submarine in -x direction. Kinematic equations for each sheep are described below:

Ship

x_{Sh} = x_{o} + v_{Sh}\cdot t

Submarine

x_{Su} = x_{o}+v_{Su}\cdot t

Where:

x_{o} - Position of Diego Garcia island, measured in miles.

x_{Sh}, x_{Su} - Current positions of ship and submarine, measured in miles.

v_{Sh}, v_{Su} - Velocities of ship and submarine, measured in miles per hour.

t - TIme, measured in hours.

If we know that x_{Sh} - x_{Su} = 241\,mi, v_{Sh} = 19\,\frac{mi}{h} and t = 7\,h, then:

x_{Sh} - x_{Su} = (v_{Sh}-v_{Su})\cdot t

We clear now the velocity of submarine:

\frac{x_{Sh}-x_{Su}}{t} = v_{Sh}-v_{Su}

v_{Su} = v_{Sh}-\frac{x_{Sh}-x_{Su}}{t}

v_{Su} = 19\,\frac{mi}{h} -\frac{241\,mi}{7\,h}

v_{Su} = -15.429\,\frac{mi}{h}

Speed of the submarine is the magnitude of its velocity, which is 15.429 miles per hour.

4 0
3 years ago
What can you predict regarding the probability of the
natka813 [3]

Answer:

The frequency does not change with more trials

Step-by-step explanation:

To predict: the probability of the coin landing heads up

Solution:

Probability refers to the chances that an event will occur in an experiment. The value of probability lies between 0 and 1. 0 indicates impossible event and 1 indicates a sure event. The probability of an event can not be greater than 1.

When a coin is tossed, there are two possible outcomes: heads (H), tails (T).

In case of the probability of the coin landing heads up, the frequency does not change with more trials.

6 0
3 years ago
Read 2 more answers
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