You deposit $300 in an account earning 4% interest compounded annually. How much will you have

Mathematics

1 answer:

olga55 [171]2 years ago

7 0

You will have 240$ in your account

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Skee ball is a game played by rolling a wooden sphere up a ramp into a series of rings. The wooden ball has a surface area of ab

SVEN [57.7K]

Answer:

Radius of the ball is approximately 6.5 cm to the nearest tenth

Explanation:

The ball has the shape of a sphere

Surface area of a sphere can be calculated using the following rule:

Surface area of sphere = 4πr² square units

In the given problem, we have:

Surface area of the ball = 531 cm²

Substitute with the area in the above equation and solve for the radius as follows:

$531 = 4\pi r^2\\ r^2=\frac{531}{4\pi } = 42.255 \\ \\ r=\sqrt{42.255}=6.5004 cm$ which is approximately 6.5 cm to the nearest tenth

Hope this helps :)

3 0

2 years ago

sam goes to the market to buy a hamburger for cookout. he buys 3 3/4 pounds if a hamburger. how many 1/4 pound patties can he ma

Alexandra [31]

3 3/4÷ 1/4
15/4÷1/4
15/4÷4/1
15*4=60
4*1=4
60/4=15
15 times 1/4 can fit into 3 3/4.

7 0

3 years ago

25% of what number is 20

ycow [4]

Answer:

100

Step-by-step explanation:

5 0

2 years ago

Find all solutions for a triangle with c=70 c=24 and a=25

Slav-nsk [51]

Answer:

see the attachments for the two solutions

Step-by-step explanation:

When the given angle is opposite the shorter of the given sides, there will generally be two solutions. The exception is the case where the triangle is a right triangle (the ratio of the given sides is equal to the sine of the given angle). If the given angle is opposite the longer of the given sides, there is only one solution.

When a side and its opposite angle are given, as here, the law of sines can be used to solve the triangle(s). When the given angle is included between two given sides, the law of cosines can be used to solve the (one) triangle.

___

Here, the law of sines can be used to solve the triangle:

A = arcsin(a/c·sin(C)) = arcsin(25/24·sin(70°)) = 78.19° or 101.81°

B = 180° -70° -A = 31.81° or 8.19°

b = 24·sin(B)/sin(70°) = 13.46 or 3.64