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3 years ago

Analyze the diagram below and complete the instructions that follow. Complete

Mathematics

1 answer:

Nostrana [21]3 years ago

3 0

Answer:

QR / SQ = SQ / TQ

Step-by-step explanation:

∠QST = 90 - ∠Q

∠R = 90 - ∠Q

∠QST = ∠R

ΔQST ~ ΔQRS

SQ / TQ = QR / SQ

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Factor 6a2 - 26a + 28.

aalyn [17]

The answer of the question is B

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3 years ago

How much money should be deposited today in an account that earns 6% compounded monthly so that it will accumulate to $1000000 (

aleksandr82 [10.1K]

Answer:

The principal investment required to get a total amount of $ 1,000,000.00 from compound interest at a rate of 6% per year compounded 12 times per year over 45 years is $ 67,659.17.

Step-by-step explanation:

Given

Accrued Amount A = $1000000

Interest rate r = 6% = 0.06

Time period t = 45 years

Compounded monthly n = 12

To determine:

Principle amount P = ?

Using the formula

$A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}$

$P\:=\frac{A}{\left(1\:+\:\frac{r}{n}\right)^{nt}}$

substituting A = 1000000, r = 0.06, t = 45, and n = 12

$P\:=\frac{1000000}{\left(1\:+\:\frac{0.06}{12}\right)^{12\cdot 45}}\:$

$=\frac{1000000}{1.005^{540}}$

$P = 67659.17$ $

Therefore, the principal investment required to get a total amount of $ 1,000,000.00 from compound interest at a rate of 6% per year compounded 12 times per year over 45 years is $ 67,659.17.

7 0

3 years ago

Select the correct answer.

m_a_m_a [10]

B).

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4 years ago

What is the slope for (2,-1) and (6, -1)

Ronch [10]

Answer:

$m=0$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (2, -1)

Point (6, -1)

Step 2: Find slope m

Substitute: $m=\frac{-1+1}{6-2}$
Add/Subtract: $m=\frac{0}{4}$
Divide: $m=0$

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3 years ago

Round 1.965 to the nearest tenth.

Ne4ueva [31]

Answer: 2.0

Step-by-step explanation:

To round 1.965 to the nearest tenth consider the hundredths’ value of 1.965, which is 6 and equal or more than 5. Therefore, the tenths value of 1.965 increases by 1 to 0.

1.965 rounded to the nearest tenth = 2.0

3 0

3 years ago