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CaHeK987 [17]
3 years ago
13

Mrs. King takes out a personal loan for $10,000 at a yearly simple interest rate of 9.1%. How much total interest will she owe a

t the end of 6 years?
Mathematics
1 answer:
Lemur [1.5K]3 years ago
7 0

Answer:

$5,460

Step-by-step explanation:

Given that :

Loan taken = principal (p) = $10,000

Simple Interest rate (r) = 9.1% = 0.091

Interest owed at the end of 6 years = t

Simple interest = (principal * rate * time)

Interest owed = 10,000 * 0.091 * 6

Interest owed = 910 * 6

Interest owed = $5,460

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What is the interest rate of each investment if The annual interest on a $17,000 investment exceeds the interest earned on an $8
Butoxors [25]

<u>Solution-</u>

Let's assume, the rate of interest of $8000 is x%,

then the rate of interest of $17000 is (x+0.3x) =1.3x%

Interest earned by $8000,

i_1=\frac{8000\times x\times 1}{100} =80x

Interest earned by $17,000,

i_2=\frac{17000\times 1.3x\times 1}{100} =221x

According to the question,

\Rightarrow i_1=i_2+276

\Rightarrow 221x=80x+276

\Rightarrow 221x-80x=276

\Rightarrow 141x=276

\Rightarrow x=1.96

∴ Rate of interest of $8000 is 1.96% and rate of interest of $17000 is (1.3×1.96) =2.55%

3 0
3 years ago
When Carson runs the 400 meter dash, his finishing times are normally distributed with a mean of 63 seconds and a standard devia
Gnom [1K]

Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.

Step-by-step explanation:

The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.

2 standard deviations = 2 × 0.5 = 1

63 - 1 = 62 seconds

63 + 1 = 64 seconds

Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.

6 0
3 years ago
Circle the difference 9 - 4=5
Igoryamba
5 is the difference.

Note: Minuend - Subtrahend = Difference
3 0
3 years ago
Read 2 more answers
A gardener is estimating the amount of mulch needed for two garden beds.There is no room to store extra mulch.Is it better to ov
Soloha48 [4]
Overestimate because then the gardener could possibly save the left overs in case they get a chance to use it or they could give it to someone who may need it.
8 0
3 years ago
1) Which diagram shows the correct construction of a line parallel to line l and passing through point P?
kherson [118]

1)To construct a line parallel to line l and passing through point P our first step is to join the point and line and then draw angles in such a way so that corresponding angles are equal.

Option B is the correct construction of a line parallel to line l and passing through point P.

2) To Construct the perpendicular line to line DE at point F we cut an arc from point F  to line DE in such a way it cuts line DE at two points .From these two points we draw arcs which cut each other .

Option C is the correct option  to Construct the perpendicular line to line DE at point F.

3) To Construct a perpendicular from the given line segment that passes through the given point we cut two arcs on top and bottom of line segment.

Option B is the right answer.

3 0
3 years ago
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