Answer:
J Compound interest; $298.65
Step-by-step explanation:
Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.
For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...
1.051^4 = 1.22024337
and the effective multiplier for simple interest is ...
1 +0.051·4 = 1.204
Then the difference in interest rate multiplier for the 4-year period is ...
1.22024337 -1.204 = 0.01614337
That fraction of the $18500 principal is $298.65.
Compound interest earns $298.65 more than simple interest in this scenario.
Hope this helps, have an amazing day!
Answer:
x = 4, y = 2
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = , then
sin30° = = = ( cross- multiply )
x = 4
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Using the tangent ratio in the right triangle and the exact value
tan30° = , then
tan30° = = = ( cross- multiply )
y = 2
Answer:
a.21 b. 1/24
Step-by-step explanation:
a. keep change flip
7/1 × 3/1
21/1
b. keep change flip
1/4 × 1/6
1/24
Using the concept of probability and the combination formula, it is found that there is a 0.4444 = 44.44% probability they get to be on the same team.
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- A probability is the <u>number of desired outcomes divided by the number of total outcomes.</u>
- The order in which the children are chosen is not important, which means that the combination formula is used to find the number of outcomes.
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<u>Combination formula:
</u>
is the number of different combinations of<u> x objects from a set of n elements</u>, given by the following formula.
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Finding the number of desired outcomes:
- Andy and Ollie on the same team, plus 3 children from a set of 8.
- Can be on either team, blue or red, so multiplied by 2.
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Finding the number of total outcomes:
- <u>5 children from a set of 10</u>, thus:
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The probability is:
0.4444 = 44.44% probability they get to be on the same team.
A similar problem is given at brainly.com/question/22931444
6 maybe? I used Siri sorry if it’s wrong