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3 years ago

Order the following numbers from least to greatest: 10^5,10^-99,10^-17,10^14,10^-5,10^30

Mathematics

1 answer:

n200080 [17]3 years ago

6 0

Answer:

10^-99, 10^-17, 10^-5, 10^5, 10^14, 10^30

Step-by-step explanation:

Each root adds a exponent behind the initial one. The negatives add a decimal point and zeros in front

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Melanie invested $3,800 in an account paying an interest rate of 2 % compounded

GaryK [48]

Answer:

.85

Step-by-step explanation:

Compound interest formula

$PV(1+\frac{i}{n})^{nt}$

Melanie:

$3800(1+\frac{.02}{4})^{(6*4)\\}\\=3800(1+.005)^{24}\\3800*1.1272=4283.21$

Sebastian:

$3800(1+\frac{.02}{12})^{12*6}\\3800(1.0017)^{72}\\3800*1.1274=4284.06$

4824.06-4283.21= .85

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2 years ago

Hans is on his way home in his car. He has driven 8 miles so far, which is one-fourth of the way home. What is the total length

icang [17]

8x4= 32miles

Hope you are satisfied

6 0

2 years ago

How do i solve the system of equations by graphing?<br>2x+y=7 <br>x-2y=6

scoray [572]

Answer:

Step-by-step explanation:

1. y = -2x + 7

2. Graph it (Mark (0, 7) or 7 on the y axis and go over one, down two, mark it and draw a line through both)

3. -2y = -x + 6

4. divide entire equation by 2 to isolate y

5. -y = -x + 3

6. multiply entire equation by -1 to make it positive

7. y=x+3

8. graph it (Mark (0,3) and go over one, down one, mark it and draw a line through both new points)

9. Where the lines intersect is your answer

8 0

3 years ago

In studying the insurance preferences of homeowners the following conclusions are made: A homeowner is three times as likely to

Ede4ka [16]

Answer:

0.632

Step-by-step explanation:

Given that a homeowner is three times as likely to purchase additional jewelry coverage as additional electronics coverage

If probability of purchasing additional electronics coverage = p, then prob of purchasing jewelry coverage = 3p

The two events are independent hence joint probability is product of these two.

i.e. P(both) = $p(3p) =3p^2$

This is given as 0.2

$3p^2 =0.2\\p = 0.258$

the probability that a homeowner purchases exactly one coverage.

$=P(AUB)-P(A \bigcap B)$

= Prob he purchases I + prob he purchases II-2(prob he purchases both)

$= 0.258+3(0.258)-2(0.2)\\=0.632$

5 0

2 years ago

Write a fraction with a denominator of 4 to represent it distances less than seven and a 12 mile

kirza4 [7]

2/4,6/12,1/4,3/12 make sure to label with miles cause it will probably be wrong hope this helps!

6 0

2 years ago