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Serjik [45]
3 years ago
6

Lonnie places $950 in a savings account that earns 5.75% simple interest. Find the total amount in the account aftdr 4 years

Mathematics
1 answer:
Rzqust [24]3 years ago
5 0

Answer:

1168.5

Step-by-step explanation:

The formula is

A=p(1+rt)

A future amount

P present amount

R interest rate

T time

A=950(1+0.0575×4)=1168.5

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The perimeter of a triangular field is 120m. Two of the sides are 21m and 40m.Calculate the largest angle of the field.
Mama L [17]

Answer:

the largest angle of the field is 149⁰

Step-by-step explanation:

Given;

perimeter of the triangular filed, P = 120 m

length of two known sides, a and b = 21 m and 40 m respectively

The length of the third side is calculated as follows;

a + b + c = P

21 m  + 40 m  + c = 120 m

61 m +  c = 120 m

c = 120 m - 61 m

c = 59 m

                         B

                     ↓            ↓  

                  ↓                          ↓

                ↓                                       ↓

            A →  →  → →  →  → →  → →    →    →  C

Consider ABC as the triangular field;

Angle A is calculated by applying cosine rule;

a^2 = b^2 + c^2 - 2bc \ Cos A\\\\Cos \ A = \frac{b^2 + c^2 - a^2}{2bc} \\\\Cos \ A = \frac{40^2 + 59^2 - 21^2}{2 \times 40 \times 59} \\\\Cos \ A = 0.983\\\\A = Cos ^{-1} (0.983)\\\\A = 10.6 \ ^0

Angle B is calculated as follows;

Cos \ B = \frac{a^2 + c^2 - b^2}{2ac} \\\\Cos \ B = \frac{21^2 + 59^2 - 40^2}{2 \times 21 \times 59} \\\\Cos \ B = 0.937\\\\B= Cos ^{-1} (0.937)\\\\B = 20.5 \ ^0

Angle C is calculated as follows;

Cos \ C = \frac{a^2 + b^2 - c^2}{2ab} \\\\Cos \ C = \frac{21^2 + 40^2 - 59^2}{2 \times 21 \times 40} \\\\Cos \ C = -0.857\\\\C = Cos ^{-1} (-0.857)\\\\C = 149\ ^0

Therefore, the largest angle of the field is 149⁰.

       

8 0
3 years ago
The graph below could be the graph of which exponential function?
MrMuchimi

Your answer is B F(x) * (0.5)^x

7 0
3 years ago
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What is the answer to <br>2x+3=4x+6-(2x+3)
Grace [21]

I am still learning, and am most likely incorrect.

I believe you remove the 3's since their not needed, and do this:

2x = 4x + 6 - (2x)

so then just ignore "x" and do this:

2 = 4 + 6 - 2

2 = 10 - 2

2 = 8


x = 8

7 0
3 years ago
Silvio created a table of the possible outcomes of spinning a spinner divided into 4 equal sections labeled A, B, C, and D and r
fgiga [73]

Answer:

there is a 1/4 chance of getting a on the spinner and there is a 50% percent chance of getting less than 4 on the die.

Step-by-step explanation:

because there are 4 spaces and one answer is shown so yeah

3 0
2 years ago
How is the shape of a child based on the parents shape
klemol [59]

Answer:

The child has chromosomes from both parents, so the child's shape is based on their parents shape.

Step-by-step explanation:


7 0
2 years ago
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