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Llana [10]
3 years ago
6

$4,000 for 5 years at 6% simple interest rate. How much interest is that

Mathematics
1 answer:
kobusy [5.1K]3 years ago
7 0
Easy 4000 times 0.6 times 5 = 1200
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Find an equation for the line perpendicular to y= -4/3x+5 with​ y-intercept (0,-12). Write the answer in​ slope-intercept form
Arisa [49]

Answer:

y=3/4x−12.

Step-by-step explanation:

Slope of the perpendicular line is negative inverse: m=34.

The equation of the perpendicular line is y=3x4+a.

To find a, we use the fact that the line should pass through the given point: −12=(34)⋅(0)+a.

a=−12.

Therefore, the equation of the line is y=3x4−12.

If this helps you, please give bainliest!

4 0
3 years ago
A parallelogram has an area of 100 square units. Its perimeter is
Nonamiya [84]

good morning ☕️

___________________

Step-by-step explanation:

—Dimension1 =25 and dimension2 =4

Area=25*4=100

Perimeter=2(25+4)=2(29)=58.

—-Dimension1 =12.5 and dimension2 =8

Area=12.5*8=100

Perimeter=2(12.5 + 8)=2(20.5)=41

:).

4 0
4 years ago
- If MML = (11x - 5), mJK = (4x + 26)° and mZMNL = (10x – 12),<br><br><br><br> find mZMNL.
GenaCL600 [577]

Answer:

m∠ MNL = 78º

Step-by-step explanation:

<u>Arcs meassures </u>

mML = (11x - 5)º

mJK = (4x + 26)°

<u>Angle meassure</u>

m∠MNL = (10 x – 12)º

______________________

angle measure = average of arcs

m∠MNL  = (mML+ mJK)/2

Replacing

(10x – 12)º =  ((11x - 5)º + (4x + 26)° )/ 2

10x -12 =  (15x + 21 )/2

10x - 7.5x = 10.5 + 12

2.5x = 22.5

x= 9

m∠MNL = (10 x – 12)º

             = 90 - 12

             = 78º

3 0
3 years ago
Supposed the population of deer in a region was 3,500 in the year 2000.since then population has grown by 3.5% annually. What wi
sergejj [24]
Y = a (b^x)

1) x = 0, y = 3500

=> 3500 = a (b^0)

=> 3500 = a (1)

=> a = 3500

2) growth percent = 3.5% => growth rate = 1.035 = b

=> y = 3500 (1.035)^ x

3) year 2020 => x = 2020 - 2000 = 20

4) y = 3500 (1.035)^ 20 = 6964

Answer: 6964.

3 0
3 years ago
SAVE ME. Please Answer my Questions Clevers.
Vladimir [108]

Answer:

See below

Step-by-step explanation:

Q1. if a counting number is selected at random from a set of whole number less than or equal to 20 find the probability of getting:

Counting numbers are Natural numbers: \mathbb{N}

Also, we have Whole numbers. Despite not having an official symbol, I usually denote the set as \mathbb{Z}_{\ge 0}

<u>Whole numbers less than or equal to 20</u>: A\leq 20, A \subset \mathbb{Z}_{\ge 0}  \\\implies A=\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20\}

<u>A. Prime numbers</u>

From the set A, the prime numbers are 2, 3, 5, 7, 11, 13, 17, 19.

Once we have 21 numbers in total and 8 prime numbers, the probability is:

$P=\frac{8}{21} \approx 40\%$

<u>B. Composite numbers</u>

From the set A, the composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20.

Once we have 21 numbers in total and 11 composite numbers, the probability is:

$P=\frac{11}{21} \approx 52\%$

<u>C. Divisible by three</u>

From the set A, the numbers divisible by three are 3, 6, 9, 12, 15, 18.

Once we have 21 numbers in total and 6 numbers divisible by three, the probability is:

$P=\frac{6}{21} \approx 30\%$

<u>D. Square of 2</u>

From the set A, the numbers square of 2 are 0, 1, 4, 9, 16.

\sqrt{0} =0

\sqrt{1} =1

\sqrt{4} =2

\sqrt{9} =3

\sqrt{16} =4

Once we have 21 numbers in total and 5 numbers square of 2 , the probability is:

$P=\frac{5}{21} \approx 24\%$

Q2. The opposite angle of acyclic quadrilaterals is in the ratio of 2:3. Find the degree measure of each opposite angle?

Once they're opposite, they add up to 180º

2x+3x=180 \implies 5x=180 \implies x=36

The first angle is 72º

The second angle is 108º

Q3. what is the solution set of  9x-4<13x-7 (domain, x e z) ?

x \in \mathbb{Z}\\

$x>\frac{3}{4} $

$x\in \left(\frac{3}{4},\infty \right)$

Q4. if three fourth of a number is one tenths, what is the number?

$\frac{3}{4} x =\frac{1}{10} \implies 3x=\frac{4}{10}  \implies \boxed{x = \frac{2}{15}} $

Q5. which one is the equation of the line passing through the origin and having a slope 4?

y=mx+b

m: \text{slope}

b: \text{y-intercept}

B. Y= 4x

7 0
3 years ago
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