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andrezito [222]
2 years ago
9

Claris invested $140. She earned a simple interest of 3% per year on the initial investment. If no money was added or removed fr

om the investment, what was the amount of interest Claris received at the end of two years? Show all work. Calculator allowed
Mathematics
1 answer:
just olya [345]2 years ago
7 0

Answer:

$8.40

Step-by-step explanation:

The formula for calculating simple interest is

principal * interest rate * time .

Plugging 140 into the principal, or starting value, 3% as the interest rate, and 2 (years) for the time, we get 140*0.03*2 = 8.4, or $8.40 as our answer. Note that 3% turned into 0.03 as turning a percentage into a decimal requires us to divide the decimal by 100

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laila [671]
Because
\frac{f(x)}{x-3} = 2x^{2} + 10x - 1
therefore
f(x) = (x-3)(2x² + 10x - 1) + k, where k =  constant.

Because f(3) = 4, therefore k =4.
The polynomial is
f(x) = 2x³ + 10x² - x - 6x² - 30x + 3 + 4
      = 2x³ + 4x² - 31x + 7

Answer:  f(x) = 2x³ + 4x² - 31x + 7

6 0
3 years ago
Please help I need to know the rule in correspondence to the pattern?
trasher [3.6K]

You can see that an odd number of steps is simply multiplying the number of steps by a number that moves up one each time. For instance, 1*1, 3*2, 5*3, etc. It's a bit harder with the even numbers. Their pattern is multiplying half the number of steps by 1.5, but the ones place value moves up a number each time, for example, 2*1.5, 4*2.5, 6*3.5. This means that 10 steps is 10 * 5.5, or 55 blocks and that 100 is 5,050 steps.


8 0
3 years ago
A washer and a dryer cost $770 combined. The washer costs $70 more than the dryer. What is the cost of the dryer?
vazorg [7]
Let w = washer and d = dryer:

w + d = $770,
but w = d + 70, replace w with d+70
(d+70) + d = 770
2d + 70 =770
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8 0
3 years ago
3 questions in 1
MrRissso [65]

Answer:

1. D. 20, 30, and 50

2. A. 86

3. B. 94

Step-by-step explanation:

1. To find the outliers of the data set, we need to determine the Q1, Q3, and IQR.

The Q1 is the middle data in the lower part (first 10 data values) of the data set (while the Q3 is the middle data of the upper part (the last 10 data values) the data set.

Since it is an even data set, therefore, we would look for the average of the 2 middle values in each half of the data set.

Thus:

Q1 = (85 + 87)/2 = 86

Q3 = (93 + 95)/2 = 94

IQR = Q3 - Q1 = 94 - 86

IQR = 8

Outliers in the data set are data values below the lower limit or above the upper limit.

Let's find the lower and upper limit.

Lower limit = Q1 - 1.5(IQR) = 86 - 1.5(8) = 74

The data values below the lower limit (74) are 20, 30, and 50

Let's see if we have any data value above the upper limit.

Upper limit = Q3 + 1.5(IQR) = 94 + 1.5(8) = 106

No data value is above 106.

Therefore, the only outliers of the data set are:

D. 20, 30, and 50

2. See explanation on how to we found the Q1 of the given data set as explained earlier in question 1 above.

Thus:

Q1 = (85 + 87)/2 = 86

3. Q3 = (93 + 95)/2 = 94

3 0
2 years ago
HELP ASAP!!!! CROSS-SECTIONS
ser-zykov [4K]

Answer:

Step-by-step explanation:

These problems where you are not told what basic shape you are working with and have to assume some properties, just should not be asked. You are to assume that this is a parallelepiped.

The answer that you want is B

The length of the rectangle is 8 in given along the bottom. The top is also 8 in. The width of that rectangle is 4. The rectangle is the top of the drawing.

3 0
3 years ago
Read 2 more answers
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