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2 years ago

Please help, answer and show me the work. Thanks also solve for x

Mathematics

1 answer:

vova2212 [387]2 years ago

4 0

3. x+100 = 90 alternate interior angles are equal

subtract 100 from each side

x+100 - 100 = 90-100

x = -10

4. 17x+1 = 120 alternate exterior angles are equal

subtract 1 from each side

17x+ 1 -1 = 120 -1

17x = 119

divide each side by 17

17x/17 = 119

x =7

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Lars deposited $50 into a savings account for which interest is compounded quarterly. According to the rule of 72, what interest

Ivanshal [37]

Answer: C 2.5%

Step-by-step explanation:

The "Rule of 72" is a easy way to calculate how much time an investment will take to double with a given fixed annual rate of interest.

Just we have to divide 72 by the annual rate of return(r), we can get a rough estimate of how many years it will take to double the initial investment .

Now, in given problem: Let 'r' be the rate of interest

Time to double the amount=29 years

Thus by rule 72 ,

$\frac{72}{r}=29\\\Rightarrow\ r=\frac{72}{29}=2.4827\%\approx2.5\%$

Therefore, C is the right option.

3 0

2 years ago

Read 2 more answers

The value of a bank account, y, increases by 5% each year, x. If the initial value of the account is $800, which equation repres

Mashcka [7]

Answer:

Equation to represent the situation = $800=Y(1.05)^X$

Step-by-step explanation:

Given:

Initial investment = Y

Growth rate (r) = 5% = 5 / 100 = 0.05

Number of year (n) = X year

Amount after X year = $800

Find:

Equation to represent the situation:

Computation:

$Amount = Initial\ investment (1+r)^n\\\\800 = Y (1+0.05)^X\\\\800 = Y (1.05)^X\\\\$

Equation to represent the situation = $800=Y(1.05)^X$

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2 years ago

Find two numbers that up to 158. The greater number is 40 more than the lesser number.

snow_tiger [21]

99 and 59

X=big number
X-40 = small

X+ x-40 =158
2X -40=158
2X =198
X=99. Big number is 99
99-40 =59

99+59=158

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2 years ago

You recently took a statistics exam in a large class. The instructor tells the class that the scores were Normally distributed,

Lunna [17]

Answer:

b. the area to the right of 2

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area to the left of Z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to the right of Z.

In this problem:

$X = 96, \mu = 72, \sigma = 12$