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3 years ago

Show how you got your answer or explain it

Mathematics

2 answers:

denpristay [2]3 years ago

7 0

For simple interest, the amount of interest (I) is calculated from the principal (P), the annual rate (r) and the number of years (t) using the formula

... I = P·r·t

Fill in the given numbers, and solve for t.

... 84 = 600·0.07·t . . . of course, you know that 7% = 7/100 = 0.07

... 84 = 42t . . . . . . . . simplify

... 84/42 = t = 2 . . . . divide by the coefficient of t

The time period is 2 years.

oksian1 [2.3K]3 years ago

6 0

Total = Principal × ( 1 + Rate ) ^ years

(Solved by taking logarithms)

Years = log (total / principal) / (log (1 + rate))

Years = log (684 / 600) / (log 1.07)

Years = log (1.14) / (log (1.07)

Years = 0.0569048513364726 / 0.0293837776852097

Years = 1.9366077414

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Based only on the information given in the diagram, it is guaranteed that

makkiz [27]

Answer: True

Step-by-step explanation:

There are two pairs of congruent angles, meaning the triangles are similar by AA.

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2 years ago

Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly samp

zepelin [54]

Answer:

C) There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion.

Step-by-step explanation:

Given that 20% of the residents in a certain state support an increase in the property tax.

Sample size = 400

We want the sample proportion to be within 0.04 of the true proportion (i.e., between 0.16 and 0.24)

i.e. margin of error <0.04

Std error of sample = $\sqrt{\frac{pq}{n} } =\sqrt{\frac{0.2(0.8)}{400} } \\=0.02$

Critical value = margin of error/ std error = $\frac{0.04}{0.02} \\=2$

We know z value for 95% two tailed roughly equals 2.

Hence 95% confidence is right.

C) There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion.

6 0

3 years ago

PLEASE I NEED HELP! THANK YOU.

Elden [556K]

First set up a linear equation and using the x and y values in the table see if it solves.

It doesn't solve so we know it isn't linear. ( I won't show all those steps because they aren't needed.)

Using the quadratic formula y = ax^2 +bx +c

Build a set of 3 equations from the table:

C is the Y intercept ( when X is 0), this is shown in the table as 6

Now we have y = ax^2 + bx + 6

-2.4 =4a-2b +6

1.4 = a-b +6

Rewrite the equations

a=b/2 -2.1

1.4 = b/2-2.1 +6

b = 5

a = 5/2 -2.1 = 0.4

replace the letters to get y = 0.4x^2 + 5x +6

4 0

3 years ago

8(5-32) equal to and explain <br> please help

Gre4nikov [31]

You would use order of operations: PEMDAS
P(parenthesis) E(exponents) MD(multiplication/division) AS(addition/subtraction)
with MD and AS order doesnt matter.
8(5-32) you would start with inside the Parenthesis for "P" so (5-32)=(-27)
next you would go to the E but because you dont have an exponent you go to the next step with is the "MD" you have multiplication so next would be 8(-27) and 8 multiplied by -27 is: 8(-27)= -216
ANSWER: -216

4 0

3 years ago

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WILL GIVE BRAINLIEST 27 points

tangare [24]

It is not direct variation because it does not follow the equation
y = slopex
THE points do not make the equation true .

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2 years ago

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