MATHEMATICS HIGH SCHOOL

The number 78 is divisible by 2 and 3.

True
False

Answers

Answer 1
Answer: True, the number 78 is divisible by both 2 and 3.


78/2 = 39

78/3 = 26
Answer 2
Answer: 2) 78 (38                            3) 78 (26
   -6                                       -6
  ____                                   ____
    18                                       18
   -18                                      -18
  ____                                   _____
      0                                         0

True, 78 is divisible by 2 and 3.

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A family is purchasing a house and needs to finance a $195,000 mortgage from the bank with an annual percentage rate (APR) of 5.3%. The family is financing it over 30 years and making monthly payments. What is the monthly payment?$541.67
$860.25
$1082.84
$1242.25

Answers

The monthly payment of the family is $1082.84.

Value of mortgage P= $195,000

APR = 5.3%

Tenure n = 30 years = 360 months

What is the formula for monthly payment or EMI?

EMI = (Pr(1+r)^n)/((1+r)^n-1)

Where P = Principal or loan amount

r = monthlyrate of interest

n = tenure in months.

Put P = $195,000

r = APR/12= 5.3%/12

n = 360

So, EMI = $1082.84

Therefore, The monthly payment of the family is $1082.84.

To get more about EMI visit:

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Answer:

1.$1082.84

2.$389,822

3.450.71

Step-by-step explanation:

took the test with a 100

A bin has 382 red, yellow, blue and green balls. It has three times as many red balls as yellow balls, 52 more blue balls than yellow balls, and 30 fewer green balls than red balls. How many green balls does it have?

Answers

The bin containing 382 red, yellow, blue and green balls have a total of 32 green balls.

Let x represent the number of red balls, y represent the number of yellow balls and z represent the number of green balls.

Since ther is a total of 382 balls, hence:

x + y + z = 382   (1)

There is three times as many red balls as yellow balls:

y = 3x

3x - y = 0    (2)

52 more blue balls than yellow balls, hence:

z = y + 52

- y - z = -52    (3)

Solving equations 1,  2 and 3 gives x = 62, y = 186, z = 134

Hence there are 62 red balls, 186 yellow balls and 134 blue balls

Green balls = 62 - 30 = 32 balls

Find out more at: brainly.com/question/16763389

Final answer:

To find the number of green balls, you need to create equations using the given information. By solving the equations, the bin is determined to have 150 green balls.

Explanation:

To find the number of green balls, we need to consider the given information and create equations to solve for the number of green balls. Let's define the number of yellow balls as 'y'.

From the first statement, we know that there are 3 times as many red balls as yellow balls. Therefore, the number of red balls is 3y.

From the second statement, we know that there are 52 more blue balls than yellow balls. So, the number of blue balls is y + 52.

From the third statement, we know that there are 30 fewer green balls than red balls. So, the number of green balls is 3y - 30.

We can set up an equation: 3y + y + 52 + 3y - 30 = 382. Solving for 'y', we get y = 60.

Substituting the value of 'y' back into the equation for the number of green balls, we find that the bin has 3(60) - 30 = 150 green balls.

Learn more about Algebra here:

brainly.com/question/32436021

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There was 6/9 of a pie left over from dessert. Then, 3/9 of it got eaten. How much is left now?

Answers

6/9 – 3/9 = 3/9 = 1/3

There is 1/3 of the pie left. 

What is the period of the sinusoid given by y=-4 sin(2 pi/3 x)?

Answers

The period of a sinusoidal curve can be determined through the formula : P = 2π / B where B is equal to 2π / 3. In this case, P = 2π / 2π / 3 equal to 3. The amplitude or the height of the curve is equal to -4. The curve passes through the origin, (0,0). Answer is 3

Answer:

3

Step-by-step explanation:

i just took the test   ;p

Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. Please explain how you got the answer. e^x=3.4


2^x+6=3

Answers

e^x=3.4\n\nlne^x=ln3.4\n\nx=ln3.4\n\nx\approx1.22


2^(x+6)=3\n\nlog_22^(x+6)=log_23\n\nx+6=log_23\n\nx=log_23-6\n\nx\approx1.58-3\n\nx\approx-1.42

How to do graph solution sets?

Answers

my suggestion is to look on google, there are plenty of answers and I think it will explain better than me.
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