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3 years ago

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Mathematics

2 answers:

il63 [147K]3 years ago

8 0

Answer:42

Step-by-step explanation:

84÷2 = 42

uysha [10]3 years ago

7 0

Answer:

$42 is the sale price.

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Eugene borrows $250 at a 4% annual interest rate. If he does not make any payments, how much simple interest will he owe in 18 m

Wewaii [24]

Answer:

$265

Step-by-step explanation:

We can use the simple interest formula for this:

$A = P (1 + rt)$

P = initial balance

r = annual interest rate

t = time

First, change 4% into its decimal form:

4% -> $\frac{4}{100}$ -> 0.04

Next, we need to change the annual interest rate to 1.5 since 18 months is 1.5 years. Now plug in the values:

$A=250(1+(0.04)(1.5))$

$A=265$

Eugene owes $265 of interest.

8 0

3 years ago

As of the due date, your progress bar shows that you have completed 80% of a SmartBook assignment. After the assignment due date

inessss [21]

Answer:

80%

Step-by-step explanation:

The Score on the Connect reports show the level of complation of the SmartBook assignment till the due date.

Thus, the work done after the due date is not reflected in the Connect reports score.

Since you have completed 80% of the assignment before the due date, your score is 80%

4 0

3 years ago

Find a • b. a = 5i + 7j, b = -4i + 3j

anygoal [31]

Answer:

$a \cdot b = 1$

Step-by-step explanation:

$a = 5i + 7j$

$b = -4i + 3j$

$a = a_xi + a_yj$

$b = b_xi + b_yj$

$a \cdot b = a_xb_x + a_yb_y$

$a \cdot b = (5)(-4) + (7)(3)$

$a \cdot b = -20 + 21$

$a \cdot b = 1$

4 0

3 years ago

Read 2 more answers

Please answer both questions math

djyliett [7]

Answer:

$3$ and perpendicular

Step-by-step explanation:

It's important to remember that equations of lines are always set up in the format of $y=mx+c$ .

$y$ is the $y$ value, $m$ is the gradient/slope, $x$ is the $x$ value and $c$ is the y-intercept.

Therefore, we must always rearrange our line equations so that $y$ is the subject.

In the first question, we are given the equation $2x+6y=12$ .

We rearrange to make $y$ the subject:

$6y = 12-2x$

Then, we divide both sides by 6 to have the $y$ isolated:

$\frac{6}{6} y = \frac{12}{6} - \frac{2}{6}x\\\\ y = 2 - \frac{1}{3}x$

To find a perpendicular slope, we use the negative reciprocal of the original slope. The negative part of that means we negate the value (it becomes inverse) and the reciprocal part means that we flip the fraction.

So here, the slope is $-\frac{1}{3}$ .

So, the negative reciprocal of that would be $3$ because we inverse the sign (the negative becomes positive) and the fraction is flipped to create $\frac{3}{1}=3$ .

So, the perpendicular slope is $3$ .

In the second question, we have two equations. They both need to be rearranged to isolate the $y$ .

$4x-y=5\\4x = 5 + y\\y = 4x - 5\\\\4y = -x-12\\y = -\frac{1}{4}x - 3$

Look at the slopes of the two equations. If you look carefully, you will see that they are inverse of each other (one is positive and one is negative) and if you imagine $4 = \frac{4}{1}$ , the fraction is flipped.

This means that the values are negative reciprocals of each other, meaning the lines are perpendicular.

5 0

2 years ago

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?

Ivahew [28]

Answer: 8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3

6 0

3 years ago