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denis-greek [22]
2 years ago
14

Jamila deposits $800 in an acount that earns yearly simple interest at a rate of 2.65%. How much money is an account after 3 yea

rs and 9 months
Mathematics
1 answer:
Cerrena [4.2K]2 years ago
4 0

Answer:

In 3.75 years, you will have $865.30

Step-by-step explanation:

 

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Alex is making a pizza. The round pizza pan has a 16 inch diameter. What is the area of the pizza crust needed to fill the entir
Lubov Fominskaja [6]

Answer:

The area of the pizza crust is 200.96 inches²

Step-by-step explanation:

* Lets explain how to solve the problem

- The area of any circle is πr² , where r is the length of its radius

- The length of the diameter of any circle is twice the length of

  its radius (diameter = 2 radius)

* Lets solve the problem

- Alex is making a pizza

- The round pizza pan has a 16 inch diameter

- To find the area of the pizza crust is needed to fill the entire pan,

  calculate the area of the pan

∵ The diameter of the pan is 16 inches

∵ The radius of the pan = 1/2 diameter

∴ The radius of the pan = 1/2 (16) = 8 inches

∵ The area of the pan = πr²

∵ π = 3.14 and r = 8 inches

∴ The area pf the pan = 3.14 (8)² = 200.96 inches²

∵ The area of the pizza pan = the area of the pizza crust

∴ The area of the pizza crust is 200.96 inches²

7 0
3 years ago
What is the slope of the line that passes through the points M (-3,5) and N (1,8)
zysi [14]

Answer:

m=3/4

Step-by-step explanation:

See the attached above.

Hope it helps :)

4 0
3 years ago
Richard ate g out of 12 gumdrops. Write an expression that shows how many gumdrops Richard has left.
34kurt
An expression to show would be : g/12
4 0
3 years ago
Read 2 more answers
Which of the following statements is true if m∠E = m∠Y and m∠F = m∠X?
mars1129 [50]

Answer:

segment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZX

Step-by-step explanation:

see the attached figure to better understand the problem  

we know that  

If m∠E = m∠Y and m∠F = m∠X  

then  

Triangles EFG and YXZ are similar by AA Similarity Theorem  

Remember that  

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent  

In this problem  

The corresponding sides are  

FE and XY  

EG and YZ  

GF and ZX  

so therefore  

segment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZX Firstly , let us learn about trigonometry in mathematics.  

Suppose the ΔABC is a right triangle and ∠A is 90°.  

sin ∠A = opposite / hypotenuse

cos ∠A = adjacent / hypotenuse

tan ∠A = opposite / adjacent

Let us now tackle the problem!  

A similar triangle has the same angle, in other words the triangle has the same shape but different sizes.  

From the figure in the attachment , we can conclude that:  

m∠E = m∠Y  

m∠F= m∠X  

m∠G = m∠Z  

∴ ΔEFG ~ ΔYXZ  ( ΔEFG is similar to ΔYXZ )    

Because of the similarity , then:  

FE : XY = EG : YZ = GF : ZX  

Conclusion:

ΔFG is similar to ΔYXZ.  

Segment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZX , i.e:    

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse , Triangle , Fraction , Lowest , Function , Angle

3 0
2 years ago
Read 2 more answers
Consider the statement "2 is a factor of n2 + 3n."
deff fn [24]

Answer:

The answer is the last one:

4 , 10 , 18 , (k + 1)² + 3(k + 1) and k² + 5k + 4

Step-by-step explanation:

∵ 2 is a factor of n² + 3n

∵ n = 1 ⇒ ∴ (1)² + 3(1) = 1 + 3 = 4 ⇒ 2 is a factor of 4

∵ n = 2 ⇒ ∴ (2)² + 3(2) = 4 + 6 = 10 ⇒ 2 is a factor of 10

∵ n = 3 ⇒ ∴ (3)² + 3(3) = 9 + 9 = 18 ⇒ 2 is a factor of 18

∵ n = k + 1 ⇒ ∴ (k + 1)² + 3(k + 1) ⇒ before the simplify

∵ n = k + 1 ⇒ ∴ k² + 2k + 1 + 3k + 3 = k² + 5k + 4 ⇒ after simplify

5 0
3 years ago
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