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ivolga24 [154]
2 years ago
8

If the simple interest on ​$7000 for 10 years is ​$6300​, then what is the interest​ rate? I will pick branliest answer with the

most thorough explanation. Please help. If you do, thanks for helping! Use the picture below for question.

Mathematics
1 answer:
Roman55 [17]2 years ago
8 0

Answer:

0.09

Step-by-step explanation:

So if you use the Simple interest equation it will begin with:
Interest total = Initial Amount of money x Interest rate per year x Years money is invested for.

Then substitute the values you have been given so:

$6300 = 7000 x Interest rate per year x 10.

This is simplifies to 6300 = 70,000 x Annual Interest rate

You can rearrange this to find the annual interest rate by dividing by 70,000:
\frac{6300}{70000} = Interest\ rate

Simplifying this would be:
\frac{63}{700}\\ = Interest rate.

The interest rate is 0.09.

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Are positive and negative numbers the same?<br><br>TRUE or FALSE​
andriy [413]

Answer:

false: positive and negative numbers are on two completely opposite sides of a number line, coordinate plane, etc. Just like 4 is different than 5, it is the same with positive and negative numbers

4 0
2 years ago
Read 2 more answers
A hula hoop has an circumference 150.72 cm. What is the area of the hula hoop? (round to the nearest hundredth)
Leya [2.2K]

Answer:

Area = 1808.64 cm

Step-by-step explanation:

Circumference of a circle = 2πr

Circumference = 150.72

π = 3.14

r = radius

150.72 = 2 x 3.14 x r

150.72 = 6.28 r

r = 150.72/6.28

r = 24cm

Radius = 24

Area of a circle = πr²

Area = 3.14 x 24²

Area = 3.14 x 576

Area =1808.64 cm

6 0
3 years ago
Don’t answer if you don’t know !!
DochEvi [55]

Answer:

72 sides

Step-by-step explanation:

The sum of the angles of a polygon with n sides is (n−2) × 180

Since the polygon is regular, we can divide by the number of sides to find the measure of each angle (n−2) × 180 / n

Each angle is equal to 175

(n−2) × 180 / n = 175

Multiply each side by n

(n-2)180 = 175n

Distribute

180n -360 = 175n

Subtract 180n from each side

180n-180n-360 = 175n-180n

-360 = -5n

Divide each side by -5

-360/-5 =-5n/-5

72 = n

There are 72 sides

3 0
3 years ago
Read 2 more answers
1)a chord of length 18cm midway the radius of a circle. calculate the radius of the circle correct to 1d.p. 2)if two parallel ch
kykrilka [37]
Part 1:

Given that the length of the chord is 18 cm and the chord is midway the radius of the circle. 

Thus, half the angle formed by the chord at the centre of the circle is given by:

\cos\theta=\frac{\left( \frac{1}{2} r\right)}{r}= \frac{1}{2}  \\  \\ \Rightarrow\theta=\cos^{-1}\left( \frac{1}{2} \right)=60^o

Now, 

\sin60^o= \frac{9}{r}  \\  \\ \Rightarrow r= \frac{9}{\sin60^o} =10.392

Therefore, the radius of the circle is 10.4 cm to 1 d.p.


Part 2I:

Given that the radius of the circle is 10 cm and the length of chord AB is 8 cm. Thus, half the length of the chord is 4cm. Let the distance of the mid-point O to /AB/ be x and half the angle formed by the chord at the centre of the circle be θ, then

\sin\theta= \frac{4}{10} = \frac{2}{5} \\ \\ \theta=\sin^{-1}\left( \frac{2}{5} \right)=23.6^o

Now, 

\cos23.6^o= \frac{x}{10} \\ \\ \Rightarrow x=10\cos23.6^o=9.165\approx9.2cm


Part 2II:

Given that the radius of the circle is 10cm and the angle distended is 80 degrees. Let half the length of chord CD be y, then:

\sin40^o= \frac{y}{10}  \\  \\  \\ \Rightarrow y=10\sin40^o=6.428

Thus, the length of chord CD = 2(6.428) = 12.856 which is approximately 12.9 cm.
3 0
3 years ago
The length of the hypotenuse of a right triangle is 13 m. The length of one leg in 5 cm. find the length of the other leg
VikaD [51]

other leg = 12 cm

using Pythagoras' identity with x as the side to be found, then

x = √(13² - 5² ) = √(169 - 25 ) =√144 = 12


5 0
3 years ago
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