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3 years ago

Michael has 1.85 in dimes and nickels.He has a total of 25 coins.how many of each does he have

1 answer:

5 0

D+n=25 subtract d from both sides *(if your wondering what d and n are it stands for Dimes and Nickels)* n=25-d
0.10d+0.05= 1.85
0.10d+0.05(25-d)= 1.85
0.10d+1.25-0.05d= 1.85
0.05d = 0.60
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
My answer: He has 12 dimes (d=12) and 25-12=13 so 13 nickels.. Hope this helps! :)

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At 4:30pm, the thermometer outside of Yasmine's window read 40*C. It had risen 8* between noon and 4:30pm and 5* between 7:00am

Natalija [7]

32* I belive if it had risen 8 degrees then 40 minus 8 is 32

4 0

3 years ago

A bank account earns 2.5% interest per year. If the account starts with $500, approximately how many years will it take for the

belka [17]

Answer:

Step-by-step explanation:

Since we have an amount in the future of 750, we are going to use Future value formula; FV = PV (1+r)^t

where PV= Initial amount deposited

r= interest rate or discount rate

t = total duration of the investment

FV= 750

PV=500

r = 2.5% or 0.025 as a decimal

t = ?

Next, plug in the numbers into the formula;

750 = 500* (1+0.025)^t

divide both sides by 500;

750/500 = 1.025^t

Introduce <em>ln</em> on both sides

ln 1.5 = ln $1.025^{t}$

ln 1.5 = t ln 1.025

0.4054651 = 0.0246926 t

Divide both sides by 0.0246926 to solve for t;

0.4054651/0.0246926 = t

t = 16.42

Therefore it will take 16.42 years

4 0

3 years ago

The price of a shirt is marked down from $12.50 to $10,00. What is the percent decrease of the shirt?

choli [55]

Answer: 20%.

Step-by-step explanation:

Given, The price of a shirt is marked down from $12.50 to $10.00.

Previous price = $12.50

New price = $10.00

Change in price = Previous price - New price

= $12.50 - $10.00

= $2.50

Now, the percent decrease of the shirt = $\dfrac{\text{Change in price}}{\text{Prevoius price}}\times100$

$=\dfrac{2.50}{12.50}\times100\\\\=20\%$

Hence, the percent decrease of the shirt = 20%.

7 0

3 years ago

Three students scheduled interviews for summer employment at the Brookwood Institute. In each case the interview results in eith

adoni [48]

Answer:

a. 8 outcomes

b. Discrete Variable

c. See explanation below

Step-by-step explanation:

Let N = No Offers made

Let Y = Offers made

The Expected outcome are as follows:

NNN, NNY, NYN, YNN, NYY, YNY, YYN, YYY

= 8

Let x = number of offers made

X is said to be discrete if x can take values that are restricted to a defined or limited values

X is said to be continuous if x can take a range of values that is not restricted to any range(i.e. continuous)

Looking at the brief description above, we can conclude that x is discrete

NNN, 0

NNY, 1

NYN, 1

YNN, 1

NYY, 2

YNY, 2

YYN, 2

YYY, 3

Where 0 to 3 represents number of offers at every instance

5 0

2 years ago

. The volume of a box is 405 cubic units. The length is x units, the width 4 units greater than the length, and the height is 9

lukranit [14]

Answer:

length = 5

width = 9

Step-by-step explanation:

V = lwh

let 'x' = length

let '4+x' = width

9 = height

405 = 9x(4+x)

405 = 36x + 9x²

this is a quadratic equation: 9x² + 36x - 405 = 0

factor out a 9 to get:

9(x² + 4x - 45) = 0

9(x-5)(x+9) = 0

one root is 5 and the other is -9

since distance cannot be negative we use 5 as the length and 9 is the width

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2 years ago