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Natasha_Volkova [10]
4 years ago
5

reuben deposits $700 into an account that pays simple interest at a rate if 5% per year. How much interest will he be paid in th

e first 3 years.
Mathematics
1 answer:
ryzh [129]4 years ago
3 0
Carmen deposits $400 into an account that plays simple interest at a rate of 5% per year. Amount in the account after 5 years:
$400 times (1.05)^5
=$510.51
The interest she will be paid in the first years = $110.51
You might be interested in
115
alina1380 [7]

Answer:

69

70.5

84

Step-by-step explanation:

Firstly, we need to sort this list of numbers in order to perform calculations on it.

31, 43, 47, 58, 63, 68, 69, 72, 77, 84, 84, 84, 94, 97

To find the mean we must add up and divide by the amount of numbers there are.

31 + 43 + 47 + 58 + 63 + 68 + 69 + 72 + 77 + 84 + 84 + 84 + 94 + 97 = 971\\\frac{971}{14}=69.3571429\approx 69

To find the median we must find the number in the middle of the set.

As there are two numbers in the middle positions, 69 and 72.

We must take the average of these two numbers to determine the middle.

\frac{69+72}{2}=70.5

The most is the most common number, which is 84.

6 0
3 years ago
Angie and Becky each completed a separate proof to show that the measures of vertical angles AKG and HKB are equal. Who complete
Helga [31]

Answer:

Becky, because her justification for the second statement should be "definition of supplementary angles" rather than "angle addition postulate."

Step-by-step explanation:

Becky completed the proof incorrectly because her justification for the second statement is not totally correct.

Angle addition postulate does not really apply here, as the sum of 2 angles may not give you exactly 180°.

However, the second statement, m<AKG + m<GKB = 180° and m<GKB + m<HKB = 180°, can be justified by the "Definition of Supplementary Angles".

The sum of supplementary angles = 180°.

Therefore, Becky completed the proof incorrectly.

6 0
3 years ago
Solve the system of equations. 10y - 11x = -4 - 2y + 3x = 4​
dusya [7]

Answer:

(4,4)

Step-by-step explanation:

The intersection point of 10y-11x=-4 and -2y+3x=4 is (4,4) on a graph.

4 0
3 years ago
Hello I need help jsjdbdjdjdjdkdkd
Alexandra [31]

I'll assume the question is: what's the volume?


It's two L×W×H rectangular prisms (aka boxes) put together

The bottom one is 2×3×4

The top one is 5×4×1

Volume = 2×3×4 + 5×4×1 = 24 + 20 = 44

Answer: 44 cubic feet


3 0
4 years ago
Point C (3,6, -0,4) divides AB in the ratio 3:2. If the coordinates of point B are. If point D divides CB in the ratio 4:5, the
sveta [45]

Answer:

B = (10, -4),  D = (58/9, -2)

Step-by-step explanation:

Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ___ . If point D divides in the ratio 4 : 5, the coordinates of point D are ___ .

Solution:

If point O(x, y) divides line segment AB with endpoints at A(x₁, y₁) and B(x₂, y₂) in the ratio n:m, then:

x=\frac{n}{n+m}(x_2-x_1)+x_1 ;\ y=\frac{n}{n+m}(y_2-y_1)+y_1

Since point C divides AB in the ratio 3:2. Let the coordinates of B be (x₂, y₂). Hence:

3.6=\frac{3}{3+2}(x_2-(-6))-6\\\\9.6=\frac{3}{5}(x_2+6)  \\\\x_2+6=16\\\\x_2=10\\\\\\-0.4=\frac{3}{3+2}(y_2-5)+5\\\\-5.4=\frac{3}{5}(y_2-5)  \\\\y_2-5=-9\\\\y_2=-4

B = (10, -4)

D divides CB in the ratio 4:5. Let D = (x, y). Hence:

x=\frac{4}{4+5}(10-3.6)+3.6 \\\\x=\frac{58}{9} \\\\\\y=\frac{4}{4+5}(-4-(-0.4))+(-0.4)\\\\y=-2

Hence D = (58/9, -2)

4 0
3 years ago
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