Sunny made a deposit into an account that
earns 6% simple interest. After 7 years, Sunny
had earned $420. How much was his initial
deposit?

Answers

Answer 1

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$420\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &7 \end{cases} \\\\\\ 420 = (P)(0.06)(7)\implies \cfrac{420}{(0.06)(7)}=P\implies 1000=P[/tex]


Related Questions

F(x)=2x^3-3x^2+7

F(-1)=_____
F(1)=_____
F(2)=_____

Answers

Answer:

f(-1)=2(-1)³-3(-1)²+7 = 2

f(1)=2(1)³-3(1)²+7 = 6

f(2)=2(2)³-3(2)²+7 = 11

solve this system of equation using substitution, show your work (ANSWER QUICK PLEASE)

Answers

1: 5x and 18y or (5,18)
2: -2x+2y=-4
-2(0)+2y=-4
2y=-4
y=-2

2B)
-2x+2(0)=-4
-2x=-4
x=2

Answer:

One above me is correct 100% :)

Step-by-step explanation:

Help PLSS
(will give brainliest!)

Answers

Answer:

D (last one)

Step-by-step explanation:

You figure out the ordered pair for E which is (3,-4)

Then you apply the rule given in the instructions.

so you do 3+8= 11 so x = 11

then -4+5= 1 so y = 1

So you get (11,1)

A grocery store recently sold 20 cartons of yogurt, of which 5 were cherry. Based on past data, how many of the next 16 cartons of yogurt sold should you expect to be cherry?

Answers

Answer: 4

Step-by-step explanation:

1. Find the length of the arc shown in red:

2. Find the area of the circle:

Answers

Answer:

Step-by-step explanation:

HELP!!! The diameter of a circular wall hanging is 4 ft. What is the area of the wall hanging to the nearest tenth? Use 3.14 for π.
A: 3.1 ft2
B: 12.6 ft2
C: 9.4 ft2
D: 6.3 ft2

Help it’s do in 5 minutes

Answers

Answer:

B

Step-by-step explanation:

Area of circle= πr²

Start by finding the radius:

Diameter= 2(radius)

4= 2(radius)

radius= 4 ÷2

radius= 2 ft

Area of circular wall hanging

= 3.14(2²)

= 3.14(4)

= 12.56

= 12.6 ft² (nearest tenth)

Thus, option B is correct.

Two sides of an isosceles triangle have lengths 12 and 18. What
is the greatest possible value of the perimeter of the triangle?

Please help me.

Answers

The greatest possible value of the perimeter of the triangle is 48

What is the perimeter of a triangle?

The perimeter of a triangle is the sum of the lengths of the three sides of the triangle.

An isosceles triangle has 2 equal sides and the length of the 2 sides must be greater than the length of one.

Perimeter A= 12×2+18=42

Perimeter B= 12+18×2=48

Therefore the greatest possible perimeter of the triangle is Perimeter B (48) since the sum of lengths of the two equal sides(18) is greater than the third side (12) and 48 is greater than 42.

Please read more about perimeter of triangle here:

https://brainly.com/question/15211769

determine the distance travelled by the car during this time D =(2m x t2)/2​

Answers

Answer:

D = 2mt

Step-by-step explanation:

D = (2m × 2t)/2

[tex] \sf \: d \: = \frac{2m \times t(2)}{2} [/tex]

[tex] \rightarrow \: \sf \: d = \frac{2m \times 2t}{2} [/tex]

[tex] \rightarrow \: \sf \: d = \frac{4mt}{2} [/tex]

[tex] \rightarrow \: \sf \: d = 2mt[/tex]

~Done~

------

Which statements are correct about the two-way frequency table? check all that apply.

Answers

The table displays the quantitative data, two teachers do not wear glasses, and a total of 6 teachers were polled. Then the correct option is A, C, and E.

What is decision-making?

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

The table is shown below.

                        Wear glasses      Don't wear glasses      Total

Student                  32                              97                       129

Teacher                   4                                2                          6

Total                       36                              99                       135

The table displays the quantitative data.

Two teachers do not wear glasses.

A total of 6 teachers were polled.

More about the decision-making link is given below.

https://brainly.com/question/3369578

Answer: The Answer is B and E

Step-by-step explanation:

The graph of the function f(x) = x2 is shifted 2 units up and 1 unit to the right. Which of the following corresponds to the shifted graph?

Answers

Answer:

g(x) = (x - 1)^2 + 2.

Step-by-step explanation:

1 unit to the right x---> (x - 1)

2 units up ------  f(x) moves up --->  + 2

answer is (x - 1)^2 + 2

Hello people ~
The diagonals of a rhombus are 16 cm and 12 cm, in length. The side of rhombus in length is:

(a) 20 cm

(b) 8 cm

(c) 10 cm

(d) 9 cm

Answers

Answer:

(c) [tex]\displaystyle 10\:cm.[/tex]

Step-by-step explanation:

Split each diagonal in half and use the Pythagorean Theorem:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 8^2 + 6^2 = c^2 \hookrightarrow 64 + 36 = c^2 \hookrightarrow \sqrt{100} = \sqrt{c^2} \\ \\ \boxed{10 = c}[/tex]

I am joyous to assist you at any time.

Diagonals of a rhombus are perpendicular to each other .

Perpendicular=P=16/2=8Base=B=12/2=6

We need Side

Hypotenuse=H

Use Pythagorean theorem

[tex]\\ \rm\rightarrowtail H^2=P^2+B^2[/tex]

[tex]\\ \rm\rightarrowtail H^2=6^2+8^2[/tex]

[tex]\\ \rm\rightarrowtail H^2=10^2[/tex]

[tex]\\ \rm\rightarrowtail H=10cm[/tex]

A bag of marbles includes only green and red marbles. The results of an experiment are shown in the table below. What is the experimental probability of selecting red, or green?

Answers

Answer:

100%

Step-by-step explanation:

There is no table, but if there is only a green or red in the bag, then the probability of selecting a green or a red is 100%.

The prism below is made of cubes which measure of 1/2 a foot on one side. What is the volume?

Answers

Use the prism formula and plug in 1/2 into the measurements! You got this!

How do I do it and be able to understand it

Answers

do what ? post for i can help you

Please help me! There is a picture.

Answers

Answer:

a is the write ansere

Step-by-step explanation:

please mar me brainliest

Answer:

A

Step-by-step explanation:

I'm 95.1% sure

Scale factor word problem
Someone please help me!

Answers

1. Niles is making a map of his neighborhood. He uses a scale in which 1 cm = 5 km. The distance between his house and the school is 8.5 km.

How many centimeters will there be between his house and school on the map?

1 cm = 5km

8.5 ÷ 5 = 1.7

There will be 1.7 centimeters between his house and school.

So I have this question here, can someone please help me?

Answers

Answer:

Use tan trig ratio:

[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]

where [tex]\theta[/tex] is the angle, O is the side opposite the angle, and A is the side adjacent the angle

Given:

[tex]\theta[/tex] = 39°O = 10[tex]x[/tex] = A

Substituting these values into the formula:

[tex]\implies \tan(39)=\dfrac{10}{x}[/tex]

Multiplying both sides by [tex]x[/tex]:

[tex]\implies x\tan(39)=10[/tex]

Dividing both sides by [tex]\tan(39)[/tex] :

[tex]\implies x=\dfrac{10}{\tan(39)}[/tex]

[tex]\implies x=12.34897157...[/tex]

[tex]\implies x=12.3 \ \textsf{(nearest tenth)}[/tex]

[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\rightarrowtail tan51=\dfrac{x}{10}[/tex]

[tex]\\ \rm\rightarrowtail x=10tan51[/tex]

[tex]\\ \rm\rightarrowtail x=10(1.2348971565350)[/tex]

[tex]\\ \rm\rightarrowtail x=12.348971565350[/tex]

Which value is equivalent to the expression 3^2 × 3^3?

Answers

Answer:

243

Step-by-step explanation:

3^2 x 3^3 is the same as 3x3 x 3x3x3 which is 9x27 which is 243

Distance time and speed

Answers

It traveled 80 meters during the entire trip.
It took 8 seconds
Speed = distance / time
80 / 8 = 10

22) 80 meters
23) 8 seconds
24) 10 m/s

An airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality represents the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit.

21.2 + w less-than-or-equal-to 30

How much weight can Lorrie add to the carry-on without going over the 30-pound limit?

Answers

Answer: No more than 8.8 pounds.

Step-by-step explanation: Let x be the weight that Lorrie can add to carry-on.

We are told that an airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality that will represent the the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit is:

Let us solve for x by subtracting 21.2 from both sides of our inequality.

We can see that the weight Lorrie can add to the carry-on should be less than or equal to 8.8 pounds without going over the 30 pound limit. Therefore, the weight that Lorrie can add to the carry-on should be no more than 8.8 pounds.

Plisss help with this oneeee

Answers

Answer:

y = 1/2 x - 5

Step-by-step explanation:

use the equation y=mx+b where m= the slope of the line and b=the slope-intercept (the point where the line crosses the y axis)

the slope is 1/2 and the slope-intercept is -5

Answer:

y=1/2x-5

Step-by-step explanation:

grad=change in y/change in x

=(-4--5)

----------

(2-0)

=1/2

G=0.5

0.5=y--5

------

x-0

0.5 (x-0)=y+5

0.5x=y+5

-y= -0.5x+5

y=1/2x-5

Multiply the following fractions. Reduce your answer to lowest terms.

1/8 x 1/9 =

Answers

Answer:

1/72

Step-by-step explanation:

multiple the numerators and denominators by each other so 1*1 = 1 and 8*9 = 72

HELPPPPPPPPP!
Wanda spun a spinner 30 times, and the results were recorded in the following tally chart

Answers

Answer:

30%

Step-by-step explanation:

So she spun the spinner 30 times so we divide the number of times she got solid by the 30 to get the answer in a percentage :)

9/30 = 0.3

Now we multiply the 0.3 by 100 to get it as a percent!

0.3 x 100 = 30%

Now you know how to find the probability of an object!

Have a great day!!

Please rate and mark brainliest!!

Answer:  3/10

Explanation:

Count the tally marks for the "solid" in the middle row. The first portion is a group of 5 as shown by the slash mark. The second portion of that row is one short of five, so it's another 4 tallies. Overall, we have 5+4 = 9 tallies for the "solid".

This is out of 30 spins total. Therefore, we arrive at 9/30 = (3*3)/(3*10) = 3/10

Consider the equation:
x2 + y2 - 2x + 8y + 13 = 0
+
What is the center and radius of the circle?

Answers

Answer:

Center: (1,−4)

Radius: 2

Step-by-step explanation:

35.99 divided by 15.6

Answers

Answer:

around 2.31

Step-by-step explanation:

because you will get 2.307 if you put it in a calculator then you can round it to 2.31

Which of the following is NOT a unit fraction? 7/11 1/16 1/50 1/2

Answers

Answer:

7/11

Step-by-step explanation:

This is the only fraction without a 1 in its numerator.

Answer:7/11

Step-by-step explanation: unit fractions have 1 unit like 1/2 1/3 1/100 but 7/11 is not have 1 numerator

A scale says that it's readings are accurate to within 1%, meaning that when an object
is weighed using that scale, the reading will have an error of at most 1%.
Gillian puts a math textbook on a scale, and the scale reads 1,999.8 grams. What is
the difference between the maximum and minimum possible values for the textbook's
actual weight?

Answers

Answer:

Step-by-step explanation:

well, 1% of 1999.8=19.998, so it would be + - 1,999.99

What is the area of this polygon?



Enter your answer in the box.

Answers

Area of Square/Rectangle-LxW
Area of triangle-BxH(divided by)2


Area of polygon=56
5 trust me source : tkt c vrai

A triangle has two side lengths: 18 in and 12 in. Which of the following could be the length of the third side?

Answers

Answer:

6<L<30

Step-by-step explanation:

because we know that the third side needs to be in between the sum of the other two it has to be less than 30 and then because it needs to apply to the other sides it is greater then 18-12 or 6.

heres another one of those impossible looking problems for another chance for a brainly no links please

Answers

Answer:

B. X=6 only

Step-by-step explanation:

Isolate the term of x from one side of the equation.

[tex]\sf{\sqrt{2x-3}=x-3}[/tex]

2x-3=x²-6x+9

Solve.

[tex]\sf{2x-3=x^2-6x+9=\boxed{\sf{x=6}}[/tex]

Therefore, the solution is x=6, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

X = 6 only

Hope this was helpful :)
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