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3 years ago

Write a division equation that represents the question: how many 3/8s are in 5/4

Mathematics

1 answer:

Llana [10]3 years ago

3 0

Answer:

3*8 = 24 and 5*4 = 20. Multiply the two denominators: 8*4 = 32.

Step-by-step explanation:

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Please help!!!!!!!!!!!!!!!! 100pts,

Helga [31]

QUESTION:

The code for a lock consists of 5 digits (0-9). The last number cannot be 0 or 1. How many different codes are possible.

ANSWER:

Since in this particular scenario, the order of the numbers matter, we can use the Permutation Formula:–

P(n,r) = n!/(n−r)! where n is the number of numbers in the set and r is the subset.

Since there are 10 digits to choose from, we can assume that n = 10.

Similarly, since there are 5 numbers that need to be chosen out of the ten, we can assume that r = 5.

Now, plug these values into the formula and solve:

= 10!(10−5)!

= 10!5!

= 10⋅9⋅8⋅7⋅6

= 30240.

3 0

2 years ago

Lauren will make annual contributions in the amount of $4,770, on average, to a 401(k) over the next 34 years. Her employer will

fredd [130]

Answer:

$610,297.11

Step-by-step explanation:

The problem seems to make several assumptions:

contributions are made at the end of each year
contributions and employer matching funds are not taxed until retirement
the 15% tax rate applies to the account balance amount at retirement

Of these, the last is least likely to be true in the United States.

___

Based on the assumptions above, we compute the amount from the future value of the series of contributions, then subtract 15% from that result.

FV = P·((1 +r)^n -1)/r . . . . where P is the amount of each payment, r is the annual interest rate, n is the number of payments.

The amount deposited each year is ...

$4770 + 0.60·4770 = $7630

Then the future value after 34 deposits is ...

FV = 7630·(1.055^34 -1)/0.055 ≈ 717,996.60

When this amount is reduced by the assumed 15% tax rate, it becomes ...

$717,996.60 - 0.15·717,996.60 = $610,297.11

4 0

2 years ago

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

svet-max [94.6K]

Answer:

tan (C) = 2.05

Step-by-step explanation:

Given:

A right angled triangle CDE right angled at ∠D.

Side CD = 39

Side DE = 80

Side CE = 89

We know, from trigonometric ratios that, the tangent of any angle is equal to the ratio of the opposite side to the angle and the adjacent side of the angle.

Therefore, tangent of angle C is given as:

$\tan(\angle C)=\frac{DE}{CD}$

Plug in the given values and solve for angle C.This gives,

$\tan(\angle C)=\frac{80}{39}\\\\\tan(\angle C)=2.051\approx 2.05(Rounded\ to\ nearest\ hundredth)$

Therefore, the measure of tangent of angle C is 2.05.

4 0

2 years ago

Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equat

AnnyKZ [126]

Answer:

Step-by-step explanation:

y - 5 = 4(x - 7)

y - 5 = 4x - 28

y = 4x - 23

7 0

2 years ago

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 56 : 48

dangina [55]

Answer:

7/6

Step-by-step explanation:

divide both the numerator and denominator by 8

3 0

2 years ago

Write a division equation that represents the question: how many 3/8s are in 5/4​

Write a division equation that represents the question: how many 3/8s are in 5/4