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GenaCL600 [577]

3 years ago

6

Suppose you invest $500 at an annual interest rate of 7.1% compounded continuously. How much will you have in the account after

4 years? Round the solution to the nearest dollar.

1 answer:

spin [16.1K]3 years ago

4 0

642 is the answer

I don't know rounding to dollar

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What is the surface area of a cube with side lengths of 3 centimeters

zaharov [31]

Answer:27

Step-by-step explanation:

7 0

2 years ago

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Set up an algebraic equation and then solve the following problems. The height of an object dropped from the top of a 64-foot bu

ycow [4]

0=-16t^2 +64

0=-16(t^2 - 4)

0=-16(t-2)(t+2)

t=2 or - 2

It will take two seconds for the object to hit the ground.

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3 years ago

A post is supported by two wires (one on each side going in oppositedirections) creating an angle of 80° between the wires. The

Vladimir [108]

Using the Sine rule,

$\frac{\sin A}{A}=\frac{\sin B}{B}=\frac{\sin C}{C}$ $\begin{gathered} \text{Let A = 14m,} \\ Substituting the variables into the formula,Where the length of the wires are, AP = xm and BP = ym[tex]\begin{gathered} \frac{\sin80^0}{14}=\frac{\sin40^0}{x} \\ \text{Crossmultiply,} \\ x\times\sin 80^0=14\times\sin 40^0 \\ Divide\text{ both sides by }\sin 80^0 \\ x=\frac{14\sin40^0}{\sin80^0} \\ x=9.14m \end{gathered}$

Hence, the length of wire AP (x) is 9.14m.

For wire BP (y)m,

Sum of angles in a triangle is 180 degrees,

$A^0+P^0+B^0=180^0$ $\begin{gathered} \text{Where A}^0=\text{ unknown,} \\ P^0=80^0\text{ and,} \\ B^0=40^0 \\ A^0+80^0+40^0=180^0 \\ A^0+120^0=180^0 \\ A^0=180^0-120^0 \\ A^0=60^0 \end{gathered}$

Using the side rule to find the length of wire BP,

$\begin{gathered} \frac{\sin 60^0}{y}=\frac{\sin 80^0}{14} \\ \text{Crossmultiply,} \\ y\times\sin 80^0=14\times\sin 60^0 \\ \text{Didive both sides by }\sin 80^0 \\ y=\frac{14\times\sin 60^0}{\sin 80^0} \\ y=12.31m \end{gathered}$

Hence, the length of wire BP (y) is 12.31m

Therefore, the length of the wires are (9.14m and 12.31m).

4 0

1 year ago

Justify the last two steps of the proof.

Georgia [21]

Statement 3:

NO and ON are the same line. They are congruent by the reflexive property (a line segment is a reflection of itself).

Statement 4:

Shape MNO and shape PON are congruent by side-side-side since:

side PN = side MO
side MN = side PO
side NO = side ON

Answer: Fourth option

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3 years ago

Kari picked 23 bunches of flowers from her garden. Each bunch had the same number of flowers. After she gave 46 flowers away, sh

weqwewe [10]

Answer:

8 flowers in each bunch

Step-by-step explanation:

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3 years ago