A) make a mark at (-3. 5,-4)
b) make a mark at (0,-4. 5

Calvin's investment need to be increased by a factor of 115.9% to equal Marquez's investment at any time after Calvin's investment is made.

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let v represent the value of the account after y years. Hence:

For Juana:

[tex]v=1500(1.03)^y[/tex]

Marquez invests three years before Juana,  Hence:

[tex]v'=1500(1.03)^{y+3}=1500(1.03)^y(1.03)^3=(1.03)^3*v=1.092727v[/tex]

Calvin invests two years after Juana. Hence:

[tex]v"=1500(1.03)^{y-2}=1500(1.03)^y*(1.03)^{-2}=(1.03)^{-2}v[/tex]

v' / v" = ((1.03)³ * v) / ((1.02⁻²) * v) = 1.159 = 115.9%

Calvin's investment need to be increased by a factor of 115.9% to equal Marquez's investment at any time after Calvin's investment is made.

Find out more on exponential function at: https://brainly.com/question/12940982

Answer:

37/8

Step-by-step explanation:

4*8=32

32+5=37

Answer:

37/8

Step-by-step explanation:

First you would would muiliply the denomater my the whole number and then add the nummerater.

Answer:

A train backed up 7 ft and then moved forward 7 ft

Step-by-step explanation:

When the train moved back 7 feet, it would be negative, -7. Then it went forward again 7 feet. The train is in the same place as it was before, 0.

Answer:

6x+9

(2x+3)3

you would distribute 3 into 3 and 2x to get...

6x+9

Answer:ohn is welding a truss for a bridge. He determines the angles made by the sections he

welds together, so that the truss will be uniform. The top of the truss must be parallel to

the bottom of the truss. If an angled support makes a 125' angle with the top, what must

the measure of the interior angle on the same side of the transversal with the

Step-by-step

Step-by-step explanation:

the rules of the angles of 2 lines intersecting each other.

that means the angles on one side of the first line sind the intersection point, are the same as on the other side of the line - just left-right interchanged.

and to have a third line, parallel to the first line, where the exact same angles have to be, where the second line intersects the third line (a parallel line is like a mirror image of the first line : every look and feel has to be the same).

and then remember : all angles around a single point in one side of a line must be together 180°.

so, if the support beam has an angle of 125° with the top "line", the second angle there (the exterior Angie at that point) is then 180 - 125 = 55°.

this is all at the bottom side of the top "line".

these angles are therefore left-right exchanged the same on the top side of the top "line". so, 55° and 125° instead of 125° and 55°.

these angles at the top of the top "line" must be now exactly the same at the top of the parallel bottom "line" of the truss.

so, the interior angle there is 55°. and the exterior angle is 125°.

Answer:

The mark-up percentage is 70%

Step-by-step explanation:

Let us revise the rule of the mark-up percentage

[tex]M=\frac{S-P}{P}[/tex] × 100%, where

let us use this rule to solve the question

∵ The buyer purchased leather couches in bulk, paying $750 each

∴ P = 750

∵ The stores will sell each leather couch for $1,275

∴ S = 1,275

→ Substitute them in the rule above

∴ [tex]M=\frac{1275-750}{750}[/tex] × 100%

∴ [tex]M=\frac{525}{750}[/tex] × 100%

∴ M = 70%

∴ The mark-up percentage is 70%

8 + 6.9x = 0

(Setting equation to 0 to figure out what x could be)

6.9x = -8

(Subtract 8 to both sides to isolate the x)

X = -8/6.9 or -1.15942

(Divide 6.9 to isolate x and you get your answer)

Answer:

11 pencils cost £9.35.

Step-by-step explanation:

Given;

7 pencils = £5.95

1 pencil = 5.95 ÷ 7

= £0.85

Now,

11 pencils = 11 × 0.85

= £9.35

Answer:

9.35$

Step-by-step explanation:

to find the cost of 11 pencils first we need to find the price of 1.

5.95 divided by 7 = 0.85$ (the price of one pencil)

we need to find the price of 11 pencils though.

0.85x11= 9.35$

Answer:

3.2 units to nearest tenth.

Step-by-step explanation:

cos 29 = x /3.7      (cosine = adjacent side / hypotenuse)

x = 3.7 * cos 29

= 3.236

Answer: A Square

Step-by-step explanation: In the case of an equilateral triangle, just two circles are formed.

Answer:

3ft:1in

Step-by-step explanation:

Given the clay model of a new car = 7in

If the actual car is 21ft, first we will have to convert 21ft to inches

Ift = 12in

21ft = x

x = 21×12.

x = 252in

21ft = 252in

This means that the clay model (7in) has to be scaled up to 252in. This is known as enlargement.

To know the scale of the model, we will take the ratio of the actual car to the clay as shown

Scale = actual car model/clay car model

Scale = 252/7

Scale = 36/1

We can also use the exact units of both measurement used in question

Scale = 21ft/7in

Scale = 3ft/1in

Hence the scale of the model is 3ft:1in

Answer:

12 gallons/hour or 1 gallon/5 minutes (1/12 gallon)

Step-by-step explanation:

assuming gravity can capilary action can be ignored amd has nothing to do with it, 20 minutes is 4 gallons of water gone, so 5 minutes for 1 gallon of water gone. 60 minutes in an hour, so 12 gallons per 60 minutes

Answer:

0.390625 grams

Step-by-step explanation:

can i get a second opinion on this

Answer:

25t + 100 = 550

Step-by-step explanation:

Notice that for every week, the balance increases by $25. That means t will be multiplied by 25 like this: 25t

There is already $100 on top of that, so add 100 to it like this: 25t + 100

Since Adam is saving for a $550 computer, this sum has to equal 550

25t + 100 = 550

If you want to find out how many weeks it will take to get that computer, subtract 100 from both sides

25t + 100 = 550

      - 100   - 100

25t = 450

Divide both sides by 25

25t/25 = 450/25

t = 18

It will take Adam 18 weeks to save up and buy that computer.

Answer:

oh its simple .

Step-by-step explanation:

just listen to whatever that guy above me told u .

Answer:

See below.

Step-by-step explanation:

Answer:

(−12.5) (11.5) = −143.75 Or -12.5 < 11.5

Step-by-step explanation:

hope this helps

Answer:

|-12.5|>|11.5|

Step-by-step explanation:

When you take the absolute value of a number you're essentially measuring the scalar value or magnitude of that number. "How big is that number as a number not as in + or -".

In other words the number becomes positive

|-12.5|=12.5

|11.5|=11.5

since 12.5>11.5

we can then say

|-12.5|>|11.5|

Answer:

The degree of f(x) is even, and the leading coefficient is negative. There are  3 real zeros, and 1 relative minimum values.

Step-by-step explanation:

We have the graph of f(x).

First, since both end behaviors are the same, our function must be an even-degree.

Second, since both end behaviors are going towards negative infinity, this means that the leading coefficient of our function must be negative.

The real zeros are whenever the graph touches or crosses the x-axis. We can see that this happens three times. I've circled them in blue in the image below.

Finally, relative minimum values are the lowest points in a graph, and then happen between a decreasing and then an increasing curve.

From, the graph, we only have one relative minimum value. This is circled in black in the image below.

Note that the arrows whether the curve is decreasing or increasing. We can see that the curve to the left of the minimum is decreasing, while the curve to the right of the minimum is increasing.

So, our solution is:

The degree of f(x) is even, and the leading coefficient is negative. There are  3 real zeros, and 1 relative minimum values.

And we're done!

Answer:

-4/3, -4/5, -2/3, 7/10, 7/8

Answer:

x=7

Step-by-step explanation:

3x+5x-2+18=180

26x-2=180

26x=182

x=7

Answer: D

Step-by-step explanation:

Equivalent when u use x=2

Answer:

D. 63

Step-by-step explanation:

Corresponding angles are equal.

Answer:

the answer would be 63.

explanation:

the angles are corresponding therefor they are equal.

[tex]P(t)=\cfrac{200t-120}{t+0.5}\qquad \qquad \stackrel{\textit{t=18 for 2018~\hfill }}{P(18)=\cfrac{200(18)-120}{(18)+0.5}}\implies P(18)\approx 188[/tex]

Answer:

-7+9=2

-9+7=-2

they both are equal to the same number so my answer to this question would be true.

hope this helps...

Answer:

6302.40

Step-by-step explanation:

STEP 1: Find 20 percent of 5252

[tex] \frac{20}{100} \times 5252 \\ = \frac{5252}{5} = 1050.4[/tex]

STEP 2: Add the result to the initial money

[tex]5252 + 1050.4 = 6302.4[/tex]

Hence, the answer is Rs. 6302.40

Answer:

the one on the bottom row is that graph that represents a function.

Step-by-step explanation: