Help will be appreciated

Answer:

$2600 was invested on the 1% account while $2400 was invested on the 6% account.

Step-by-step explanation:

For simple interest we must apply the following formula:

M = C*r*t

Where M is the amount of interest generated, C is the invested money, r is the rate of interest and t is the elapsed time.

The sum of capital investead in each account, "x" for the 1% interest one and "y" for the 6% interest one, must be equal to the original $5000. The same way as the interest generated from these investments must be equal to the earnt $170. So we have:

x + y = 5000

For the first account:

M1 = x*0.01*1 = 0.01*x

For the second account:

M2 = y*0.06*1 = 0.06*y

The sum of interests:

0.01*x + 0.06*y = 170

We have a system of equations as shown below:

x + y = 5000

0.01*x + 0.06*y = 170

Multiplying the first equation by -0.01 and adding both equations we have:

-0.01*x - 0.01*y = -50

0.01*x + 0.06*y = 170

0.05*y = 120

y = 120 / 0.05 = $2400

x = 5000 - 2400 = $2600

$2600 was invested on the 1% account while $2400 was invested on the 6% account.

Answer:

[tex] \boxed{(fg)(x) = 16 {x}^{4} + 72 {x}^{3} - 39 {x}^{2} + 5x} [/tex]

Given:

[tex]f(x) = 4{x}^{2} + 19x - 5 \\ \\ g(x) = {4x}^{2} - x[/tex]

To Find:

[tex] (fg)(x) = f(x) \times g(x)[/tex]

Step-by-step explanation:

[tex] = > f(x) \times g(x) = (4 {x}^{2} + 19x - 5)( {4x}^{2} - x ) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4 {x}^{2} (4 {x}^{2} - x) + 19x(4 {x}^{2} - x) - 5(4 {x}^{2} - x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =16 {x}^{4} - 4 {x}^{3} + 76 {x}^{3} - 19 {x}^{2} - 20 {x}^{2} + 5x\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =16 {x}^{4} + 72 {x}^{3} - 39 {x}^{2} + 5x[/tex]

Answer:

Step-by-step explanation:

Answer:

a) WCK, WTM, WTK, BCM, BCK, BTM, BTK.

b) 1/4

Step-by-step explanation:

a)

For this answer we just need to write all possibilities of sandwiches, so we can use the options given to create all the sandwiches, besides the one given:

(WCM given), WCK, WTM, WTK, BCM, BCK, BTM, BTK.

b)

From the letter a), we have 8 possible options. From these options, we have 2 that have turkey and ketchup (WTK and BTK), so the probability is the number of options we want over the total number of options:

P = 2/8 = 1/4

Answer:

True

Step-by-step explanation:

Answer:

Look at the attachment

Answer:

addition, subtraction, and multiplication

Step-by-step explanation:

Answer:

5 and 6 are the roots

.................

Answer:

x1=5, x2=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Antelope, Montana:  

    21, 30, 42, 58, 70, 79

Range- 58     79-21= 58

Quartile 1- 30

Quartile 3- 70

Interquartile Range- 40     70-30= 40

Augusta, Maine:

    28, 32, 41, 53, 66, 75

Range- 47

Quartile 1- 32

Quartile 3- 66

Interquartile Range- 34

the width of a book is about ("25 x 20cm")

the length of a pencil is about 15cm (19cm if unsharpened)

Answer:

2.66667 OR 0.375

Step-by-step explanation:

Answer:

the exact amount is 2.823529412 which is about 3 teaspoons.

Step-by-step explanation:

[tex]\frac{3}{x} =\frac{8.5}{8} \\[/tex]

You can then criss cross

and get x= [tex]\frac{24}{8.5}[/tex]

x=2.823529412

Answer:

4.9×10⁴

Step-by-step explanation:

Answer:

9 and 41 over 51

Step-by-step explanation:

divide 41 2/3 by 4 1/4

Answer:

9 and 41 over 51

Step-by-step explanation:

mark the other anser as branly not me ok

Answer:

A

Step-by-step explanation:

3 times 3 plus 1 is 10 which makes it greater than 7

Answer:

B

Step-by-step explanation:

[tex]3m-1>7-1\\3m>6\\3m/3>6/3\\m>2[/tex]

Answer:

it would be 4. c=.72n as you need to find how much each notebook sells for and then N would be your variable so that would tell you how many of something that someone got.

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

1 + |9 + 2|

1+ 11 = 12

Answer:

12

Step-by-step explanation:

[tex]1+|9+2|\\1+|11|\\1+11\\12[/tex]

Answer:

graph A.

Step-by-step explanation:

So, y = 1/2x - 2 is only graphed in A and D.

And x ≤ 6 is only graphed in graph A.

The graph of the piecewise function is the first graph (counting from the top).

Here we have a piecewise function:

f(x) = 0.5*x - 2  if x ≤ 6

f(x) = -x - 1   if x > 6

So, we have an increasing line for x smaller or equal than 6, and a decreasing line for x > 6. Such that we should to have a closed dot at the end of the increasing line, because in that part we have the symbol ≥, meaning that x = 6 belongs to that part.

Then the correct graph is the first option.

If you want to learn more about piecewise functions:

https://brainly.com/question/3628123

#SPJ2

Answer:

4

Step-by-step explanation:

1/3 of 30 is 10

2/5 of 10 is 4

Let s represent the number of sofas and e  represent the amount earned.

We have been given that Mr. Gilmore sells furniture. He earned $210 for selling 3 sofas. Mr. Gilmore  earned $570 for selling 11 sofas. We are asked to write the equation for given scenario.

We have two points on a line that are (3,210) and (11,570).

Let us find slope of line passing through these points.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{570-210}{11-3}[/tex]

[tex]m=\frac{360}{8}[/tex]

[tex]m=45[/tex]

Now we will use point-slope form of equation.

[tex]y-y_1=m(x-x_1)[/tex], where

m = Slope,

[tex](x_1,y_1)[/tex] = Any point on line.

[tex]y-210=45(x-3)[/tex]

[tex]y-210=45x-135[/tex]

[tex]y-210+210=45x-135+210[/tex]

[tex]y=45x+75[/tex]

Since amount earned is e and number of sofas is s, so our equation would be [tex]e=45s+75[/tex].

Therefore, our required equation would be [tex]e=45s+75[/tex].

Answer:

(-4,1)

Step-by-step explanation:

Ordered pair (-4,1) means that x = -4 and f(x) = 1

Ordered pair (1,-4) means that x = 1 and f(x) = -4

From the table, we can see that the function is already defined for x = -4, but it is not defined for x = 1. So, the point (1,-4) can be included into the function, but the point (-4,1) cannot.

Answer:

3 seconds.

Step-by-step explanation:

Answer:

15 meters

Step-by-step explanation:

I think the other guy answered the question similar to this one where it shows how many second but guys its height in meters anyway bye have a great day!!! :D

Hey there!

Since these angles share the same vertex (point where the lines that make the angle meet), they are congruent (they have the same value). Therefore, we can write the following equation.

4x-12=2x+48

We add 12 to both sides.

4x=2x+60

We subtract 2x from both sides.

2x=60

We divide both sides by 2.

x=30

Now, we can plug this in to find the measure of angle ACB. Whenever you see an angle that is named with three letters, the middle one is its vertex and the other two are the end points.

m∠ACB=4(30)-12

m∠ACB=120-12

m∠ACB=108

I hope that this helps! Have a wonderful day!

Answer:

vertex = (2, 5 )

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = 2(x - 2)² + 5 ← is in vertex form

with (h, k) = (2, 5 ) ← vertex

Answer:

sin (theta) = [tex]\frac{\sqrt{15} }{8}[/tex]

cos (theta) = [tex]\frac{7}{8}[/tex]

tan (theta) = [tex]\frac{\sqrt{15} }{7}[/tex]

cot (theta) = 7 square root 15/15

sec (theta) = [tex]\frac{8}{7}[/tex]

csc (theta) = 8 square root 15/15

Step-by-step explanation:

if h(t) = t² - t +7

h(2) = -5

I hope it helps

Answer:

square

Step-by-step explanation:

when multiplied by itself the number is squared

Answer:

1 and 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The complete problem is attached.

Notice that the figure is a square pyramid, where its base dimensions are 12 inches by 12 inches, which represents an area of

[tex]B=12 \times 12 = 144 \ in^{2}[/tex]

The slant height of the pyramid is 11 inches, which allow us to find the area of each triangle face

[tex]A=\frac{1}{2}bh =\frac{1}{2}(12)(11)= 66 \ in^{2}[/tex]

But there are four triangle faces, so [tex]A_{faces} =4(66)=264 \ in^{2}[/tex].

Therefore, the area of each triangular face is 66 square inches.

So, the total surface area would be the sum

[tex]S=144+264=408 \ in^{2}[/tex]

Therefore, Gabriel needs 408 square inches to paint the whole model.

Answer:

144 66 408

Step-by-step explanation:

Answer:

The range is 96.

Step-by-step explanation:

The definition of range is "The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set." So subtract the highest value from the smallest value,  and you get 96. pls mark brainliest.

Hope this helps.

Hello !

first, we need to find the smallest and the biggest number on the list:

4, 8, 13, 18, 22, 22, 47, 70, 77, 100

so it's 4 and 100

we substract the smallest from the biggest number :

100 - 4 = 96

96 is the range

× × i hope i helped you ! × ×

Answer:

100

Step-by-step explanation:

First four multiples of 10 are :

10 , 20 , 30 , 40

So their sum is

10+20+30+40 = 100

Answer:

C

Step-by-step explanation:

L=3w/2

P=2l+2w

3w+2w=5w

Please mark as Brainliest! :)

Have a nice day.

Your Answer is  4w+3. I had this question