Ch.3 Test Savings Accounts
1. Mike deposits $5,000 in a three-year CD account that yields 3.5% annual interest,
compounded weekly. What is his ending balance at the end of three years?

Answer:

0.072

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

"Find the number if 12% of IT is 10% of 6."

"It" means "the number," and we can represent this number as "x."

So,

12% * x = 10% * 6

3/25x=3/5

x=5

So, the number is 5.

(This problem really isn't that hard lol)

Answer:

270

Step-by-step explanation:

if you multiply 2,000 times 4.5% times 3

So the right answer is $270.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

13.2

Step-by-step explanation:

You make the six into a fraction and then you multiply straight through

Answer:

[tex]=7\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]1\frac{1}{5}\cdot \:6\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 1\frac{1}{5}=\frac{6}{5}\\1\frac{1}{5}\cdot \:6\\1\frac{1}{5}=\frac{1\cdot 5+1}{5}=\frac{6}{5}\\\frac{6}{5}\cdot \:6\\\mathrm{Convert\:element\:to\:fraction}:\quad \:6=\frac{6}{1}\\=\frac{6}{5}\cdot \frac{6}{1}\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\=\frac{6\cdot \:6}{5\cdot \:1}\\\mathrm{Multiply\:the\:numbers:}\:6\cdot \:6=36\\=\frac{36}{5\cdot \:1}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:5\cdot \:1=5\\=\frac{36}{5}\\\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{36}{5}=7\frac{1}{5}\\=7\frac{1}{5}[/tex]

Answer:

-5

Step-by-step explanation:

Put the coordinates into the equation the difference of y over the difference of x. for example, -4-(-9)/-6-(-5) then you get 5/-1, which is -5.

Answer:

-5

Step-by-step explanation:

Slope = m = (y2 - y1)/(x2 - x1)

m = (-9 - (-4))/(-5 - (-6)) = (-9 + 4)/(-5 + 6) = -5/1 = -5

Answer: The slope is -5

Answer:

17

Step-by-step explanation:

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

Answer:

18 i think

Step-by-step explanation:

Answer:

length: 2cm width: 3cm height: 3cm

Step-by-step explanation:

The volume has to equal 18 since we have 18 cubes measuring 1 cm

length: 2cm width: 2cm height: 3cm   2*2*3 = 12  not  possible answer

length: 2cm width: 3cm height: 3cm  2*3*3 =18  answer

length: 3cm width: 3cm height: 3cm  3*3*3 27 not possible answer

length: 6cm width: 6cm height: 6cm 6*6*6 = 216 not possible answer

Answer:

108°

Step-by-step explanation:

Answer: 108

Step-by-step explanation:

Answer:

The approximate surface area of the snowman's head is 125.33 sq.cm.

Step-by-step explanation:

Formula of surface area =[tex]4 \pi r^2[/tex]

We are given that The surface area of the base of the snowman is 1800 square centimetres

So,[tex]4 \pi r^2 =1800[/tex]

[tex]4 \times \frac{22}{7} \times r^2 = 1800 \\r^2 = \frac{1800 \times 7}{22 \times 4}\\r=\sqrt{\frac{1800 \times 7}{22 \times 4}}\\r=11.96[/tex]

The radius of a the head of a snowman is about 2/3 times the radius of the base of the snowman

So, Radius of head = [tex]\frac{2}{3} \times 11.96 =7.97[/tex]

Surface area of  snowman's head=[tex]4 \times \frac{22}{7} \times 9.97=125.33 cm^2[/tex]

Hence the approximate surface area of the snowman's head is 125.33 sq.cm.

Answer:

Step-by-step explanation:

compare with x²+y²+2gx+2fy+c=0

center is (-g,-f)

radius=√(g²+f²-c)

2g=-14

g=-7

2f=-12

f=-6

center is (7,6)

radius=√((-7)²+(-6)²-76)

=√(49+36-76)

=√(85-76)

=√9

=3

Answer:

6358

Step-by-step explanation:

15/100*7480=1122

7480-1122=6358

Step-by-step explanation for Surface Area:

So, to find the surface area, you use the formula: [tex]A=lw+l\sqrt{(\frac{w}{2})^2 +h^2 } +w\sqrt{(\frac{l}{2})^2 +h^2 }[/tex]

I'll explain what each part means and why they are like that. (btw, it would help you more if you looked at a rectangular prism I added while you read the explanation :) )

First of all, you do lw because that is the base of the right rectangular pyramid (since you're finding the surface area, you need to find the area of all the surfaces on the pyramid)

You add [tex]l\sqrt{(\frac{w}{2})^2 +h^2 }[/tex] because now you're trying to find the triangular side with the length. You multiply the length, because that's how wide the "triangle" is. You do the square root because of the pythagorean theorem (since you're using the hypotenuse times the length to find that side). The width is divided by two, because as you can see in my attachments, that's how far away the height is from the length (if you look at the base, see where the height line drops in comparison to the length).  (look at my second screenshot)

You add [tex]w\sqrt{(\frac{l}{2})^2 +h^2 }[/tex] for the same reason, except dealing with the width. You're finding the side with the width. You multiply the width by the hypotenuse of the right triangle (look at the third screenshot i attached). The length is divided by two because that's the distance between the bottom of the height line to the w.

I do believe that this should explain the meaning behind each piece of the formula (I'm not sure this is what you asked for lol but it does make understanding it a little easier, I think). To get the answer, you just substitute each variable with those values. So...

[tex]A=(7)(5)+(7)\sqrt{(\frac{(5)}{2})^2 +(12)^2 } +(5)\sqrt{(\frac{(7)}{2})^2 +(12)^2 }[/tex]

A ≈ 183.3

As for the Volume:

[tex]V=\frac{lwh}{3}[/tex]. I'm not 100% on why it's divided by three, but with any volume, you're always going to end up with an answer that is in cubed units. So that explains the three variables in the numerator. I'd like to think the three just has to do with the three variables, but I don't know. Give me the points if you'd like? I don't think this is a proper explanation though.

Good luck!

Answer:

volume = 140 cubic units

area = 183.3 square units

Step-by-step explanation:

I am going to assume we are dealing with a pyramid with a rectangular base. The rectangular base has length 7 units, width 5 units, and height 12 units.

Let's do the volume first since it's simpler.

Volume:

volume of pyramid = (1/3) * (area of base) * height

volume = (1/3) * 7 units * 5 units * 12 units

volume = 140 cubic units

Now we deal with the surface area.

The total surface area of a rectangular pyramid is the sum of the lateral area and the area of the base. The area of the base is the area of a rectangle. The lateral area is the sum of the areas of the 4 triangular sides. Each two opposite sides are congruent. For the base, we have the length and width of the rectangular base, so we can find the area easily.

For the 4 triangular sides, we need to find the the height of the triangles. Since each pair of opposite faces is congruent, we have two triangles we need to find the heights for. I'll call the heights "p" and "q". We use the Pythagorean theorem to find the heights of the triangular faces.

a^2 + b^2 = c^2

(3.5)^2 + (12)^2 = p^2

p^2 = 156.25

p = 12.5

(2.5)^2 + (12)^2 = q^2

q^2 = 150.25

q = 12.25765

Area of triangle = (1/2) * base * height

For two triangles, the base is 5 and the height is 12.5.

For the other two triangles, the base is 7 and the height is 12.25765.

total surface area = area of base + 2(area of triangle with base 5) + 2(area of triangle with base 7)

A = LW + 2(1/2)(base)(height) + 2(1/2)(base)(height)

A = 7(5) + 2(1/2)(5)(12.5) + 2(1/2)(7)(12.25765)

A = 183.3 square units

Answer:

a

Step-by-step explanation:

Answer:

A.) y=3x-1

Step-by-step explanation:

Point-slope form can be shown using the equation: y = mx+b

In this case, m is slope, and b is the y-intercept.

Slope in this graph can be found by finding the rise over the run, or the number of blocks the line moves vertically over the number of blocks the line moves horizontally. The line moves at a rate of 3 blocks up for every 1 block to the right, or 3/1. That means that the slope is 3.

The y-intercept is wherever the line crosses the y-intercept, or wherever x equals 0. This happens at y = -1.

If you plug the slope (3) and the y-intercept (-1) into the equation y = mx+b, you get y = 3x-1.

Answer:

x=4

Step-by-step explanation:

<K=30 degrees so LJ=4V2

LM=JM=x

so x^2+x^2=(4V2)^2=16*2=32

   2x^2=32

   x^2=16

   x=4

Answer:

a)5 b)15

Step-by-step explanation:

5 times 11=55

15 times 3 is 45

add together is 100

5+15 is 20 questions

Answer:

500 mg Carbon Monoxide

1100 mg Carbon Dioxide

Step-by-step explanation:

Weight of total sample = 1600 mg

Percentage of Carbon in Carbon Monoxide = 43%

Percentage of Carbon in Carbon Dioxide = 27%

Percentage of carbon in Mixture = 32%

Let amount of Carbon Monoxide = [tex]x[/tex] mg

Amount of Carbon Dioxide in mixture = (1600-[tex]x[/tex]) mg

Amount of carbon in [tex]x[/tex] mg of Carbon Monoxide =

[tex]x \times 43\%\\\Rightarrow x \times \frac{43}{100} ...... (1)[/tex]

Amount of carbon in (1600-[tex]x[/tex]) mg of Carbon Monoxide =

[tex](1600-x) \times 27\%\\\Rightarrow (1600-x) \times \frac{27}{100}......(2)[/tex]

We know that the sample of 1600 mg contains carbon because of Carbon Monoxide and Carbon Dioxide present in it.

Adding (1) and (2) and equating to 32% of 1600 mg:

[tex]x \times \dfrac{43}{100} + (1600-x) \times \dfrac{27}{100} = 1600 \times \dfrac{32}{100}\\\Rightarrow x \times (43-27) = 1600 \times (32-27)\\\Rightarrow 16x = 1600 \times 5\\\Rightarrow x =500[/tex]

Amount of Carbon Monoxide in sample,[tex]x[/tex] = 500 mg

Amount of Carbon Dioxide in sample = (1600 - [tex]x[/tex]) = (1600 - 500) = 1100 mg

Hence, answer is

500 mg Carbon Monoxide

1100 mg Carbon Dioxide

Answer:

Step-by-step explanation:

What is the equation of this line (eg)

Write each linear equation in standard form. a) y - 5 = -3 (x + 4) b) y = 2/3 x + 4

Given the linear equation 2x + 3y = 9. Determine the slope and y-intercept of the line. ...

Graph 4x - 3y = 12 by determining the intercepts.

Graph x + 4y = 8 by determining the intercepts.

Manny has two part-time jobs. One job pays $10/hour and the other pays $16/hour. ...

Answer:

x = 0

Step-by-step explanation:

The equation of a line is shown by using the formula y = mx+b

But, in special cases like this one, where the line is completely vertical then we use the same formula but we just adjust it.

When a line is completely straight up and down the equation is x = #

Since the line is on the y-axis (or has a x value of zero) the equation is x = 0.

There is no y in this equation because the line is hitting all values of y (which means y is ∞) with only 1 value of x. (As opposed to most equations where one or multiple values of y with one value of x or vise-versa.)

570

hope this helps!

Answer:

55 total students

Step-by-step explanation:

Change the percent to a decimal.

40% = 0.4

Divide the number of 8th graders by the decimal to find the total players on the team.

22/0.4 = 55

The total number of students is 55.

Answer: B

Step-by-step

<2 with the underline that mean that it can go up or down q

the <2t it goes up and -4 it goes down

remember that negative it goes down the line the positive it goes up

Answer:

0.66 repeating (2/3)

Step-by-step explanation:

Each student should receive 2/3 of a brownie, because if you do 0.66 times 3, (multiplying the number of students by the portion of brownie they receive, you get 1.98. Rounding up to 2, this will give each student the fairest amount of brownie.

Answer:

104cm^2

Step-by-step explanation:

Area of 1st rectangle

given

l=12cm

w=6cm

A =l×w

=12cm×6cm

=72cm^2

Area of 2nd rectangle

given

l=14-6=8cm

w=4cm

A=l×w

=8cm×4cm

=32cm^2

Total area =72cm^2+32cm^2=104cm^2

Answer: A

Step-by-step explanation:

The correct statement about the volumes of the two cylinders is,

⇒ The volume of the right-hand cylinder is less than the volume of the left-hand cylinder.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

In the drawing,

s > t

Where, 's' is radius of left hand side cylinder and 't' is radius of right hand side cylinder.

We know that;

Volume of cylinder = πr²h

Hence, Volume is directly proportional to radius.

Larger the radius gives large Volume.

Hence, WE get;

The volume of the right-hand cylinder is less than the volume of the left-hand cylinder.

Thus, The correct statement about the volumes of the two cylinders is,

⇒ The volume of the right-hand cylinder is less than the volume of the left-hand cylinder.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ3

Answer:

D

Step-by-step explanation:

42 minus 31 is 11

so 11/42 = /100

Answer:

11/42 = x/100

Step-by-step explanation:

42 students and 31 are girls

42 -31 = 11 that is the number of boys

boys / total = x/100 to find the percent

11/42 = x/100

Answer:

36.57 mi ^2

Step-by-step explanation:

This is a trapezoid

The area of a trapezoid is

A = 1/2 (b1+b2) *h  where b1 and b2 are the bases

A = 1/2 (3.8+10) * 5.3

A = 1/2 (13.8) *5.3

  = 36.57

Answer:

36.57

Step-by-step explanation:

b^1+b^2/2*h

10+3.8/2*5.3

36.57

Answer:

[tex](x-5)^2+(y-2)^2=9\\[/tex]

Step-by-step explanation:

So, you basically want the equation of the circle.

Given:

Center(C): [tex]C(5, 2)[/tex]

[tex]r=3[/tex]

The equation of circle is:

[tex](x-h)^2+(y-k)^2=r^2\\[/tex]

Where, [tex](h, k)[/tex] represents the center point and [tex]r[/tex] is the radius of the circle.

Plotting the values in the equation:

[tex](x-5)^2+(y-2)^2=3^2\\[/tex]

[tex](x-5)^2+(y-2)^2=9\\[/tex]

This is the equation of the circle of center (5, 2) and radius 3.

Answer:

(x-5)2 + (y -2)2 = 9

Step-by-step explanation:

The answer is the top one to the right

The graph that represents the function g(x) = 2(0.5)ˣ -1 is given.

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.

The relationships between two or more items are frequently represented by the points on a graph.

Given expression,

g(x) = 2(0.5)ˣ -1

To draw the graph take x = 0, 1,2, -1 , -2 and so on .

And draw these numbers in the graph.

Take x=0

g(0) = 1

the point is (0,1)

And now , take x = 1

g(1) = 0

the point is (1,0)

Take x =-1

g(-1) = 3

The point is (-1,3)

Therefore, the graph is given in the image.

To learn more about the line graph;

https://brainly.com/question/23680294

#SPJ5

Answer:

C

Step-by-step explanation:

Usually rate is determined as a distance over time, where the time is a unit. In other words, we have "1" of the time (for example, 1 hour, 1 second, 1 gallon, etc).

Look at each answer choice:

A: doing 45 crunches in 1 minute

This is definitely a rate because the time (1 minute) is a unit.

B: paying $3.15 for 1 gallon of gas

Again, this is considered a rate because you're paying $3.15 per gallon.

C: folding 6 loads of laundry in 3 days

We can see this isn't a rate because the time is 3 days, not 1. So C is the answer.

D: walking 4 miles in 1 hour

This is a rate because our time is 1 hour.

The answer is C.

Answer:

C.folding 6 loads of laundry in 3 days

Step-by-step explanation:

folding 6 loads of laundry in 3 days means, 6/3 = 2 loads of laundry per day.

Rate is 2 per day

Answer:

Mean - 7

Median - 7.5

mode - 9

range - 6

Hope it helps u

Answer:

The answer is the first one, 132 square centimeters