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4 years ago

How do I determine the measure of each missing angle?

Mathematics

1 answer:

algol [13]4 years ago

7 0

Minus 78 by 55 to get 23 as the measure for P.

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S (SOA) An annuity pays 1 at then end of each year for n years. Using an annual effective interest rate of i, the accumulated va

Reptile [31]

Answer:

Step-by-step explanation:

Given:

Annuity at time (n + 1) = 13.776

(1 + i)ⁿ = 2.476

Now,

$S_{n/i}=\frac{(1+i)^n-1}{d}$

here, d = $\frac{i}{1-i}$

thus,

$13.776=\frac{2.476-1}{d}$

d = 0.1071

therefore,

d = $\frac{i}{1+i}$

0.1071 = $\frac{i}{1+i}$

0.1071 + 0.1071i = i

i = 0.1199

now,

(1 + i)ⁿ = 2.476

(1 + 0.1199)ⁿ = 2.476

1.1199ⁿ = 2.476

taking log both sides

n × log(1.1199) = log(2.476)

n = 8.006 ≈ 8

hence,

the answer is 8

7 0

3 years ago

Which functions are nonlinear? Select TWO that apply.

Annette [7]

Answer:

A,B

Step-by-step explanation:

I think bc I had the same question well something like this in A in B was it

8 0

3 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 436.0 gram setting. It

Vilka [71]

Answer:

We conclude that the machine is under filling the bags.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 436.0 gram

Sample mean, $\bar{x}$ = 429.0 grams

Sample size, n = 40

Alpha, α = 0.05

Population standard deviation, σ = 23.0 grams

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 436.0\text{ grams}\\H_A: \mu < 436.0\text{ grams}$

We use one-tailed(left) z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{429 - 436}{\frac{23}{\sqrt{40}} } = -1.92$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.

8 0

3 years ago

Write 108.92 in expanded form.

Vlada [557]

Answer:

1.0892*10²

Step-by-step explanation:

1.0892*10²

5 0

3 years ago

Read 2 more answers

Which estimate is the closest to actual value of (2.99548) (1.8342)?

Jet001 [13]

The answer will be B ~5.5

4 0

3 years ago

Read 2 more answers