Matt has $550 in his savings account. He is eager to know how much interest the bank will pay him for the whole year. He knows that the bank pays a 3 percent interest rate. He sits down with a pen, paper, and calculator to find out the simple interest. Let’s help him out. Matt has already jotted down the formula he needs to use: I = P × r × t First, help him substitute the correct values in this formula. Write down the appropriate numbers for principal, rate of interest, and time

Answers

Answer 1

From Matt's formula:
I=P×r×t
P=principle amount (amount invested)
r=rate
t=time
From the information given:
P=$550
r=0.03
t=1
therefore
I=550*0.03*1
I=$16.5

Answer 2

Answer:I = 550 × 0.03 × 1

Step-by-step explanation: from plato

Related Questions

Sean tried to drink a slushy as fast as he could. He drank the slushy at a constant rate. There were originally 275 milliliters of slushy in the cup. After 13 seconds, 210 milliliters remained. How long did it take Sean to drink all the slushy?

Answers

Answer: It took Sean 55 seconds to drink all the slushy

Solution:

Original Volume: Vo=275 milliliters

After t1=13 seconds, 210 milliliters remained: V1=210 milliliters

He drank the slushy at a constant rate: r

Sean drank V=Vo-V1=275 milliliters-210 milliliters→V=65 milliliters

r=V/t1

r=65 milliliters / 13 seconds

r=5 milliliters/second

Sean will drink the remained volumen in a time t2:

t2=V1/r

t2=210 milliliters / (5 milliliters/second)

t2=42 seconds

Total time to drink: t

t=t1+t2

t=13 seconds + 42 seconds

t=55 seconds

Answer:

Sean drank at a rate of 5 milliliters per second.

It took Sean 55 seconds to drink all the slushy.

Step-by-step explanation:

Hope it helps in the picture below.

Lars deposited $50 into a savings account. According to the rule of 72, what interest rate will cause his money to double in approximately 29 years?

Answers

The rate that will double Lars deposit of $50 in 29 years will be calculated as follows:
Suppose the account used was using compound interest. Thus to determine his future value we shall use the formula:
FV=P(1+r)^n
where:
FV is future value
p=principle
r=rate
n=periods
from the information given
FV=$100
p=$50
n=29 years
we are required to find r
thus
100=50(1+r)^29
100/50=(1+r)^29
2=(1+r)^29
2^(1/29)=1+r
1.02419=1+r
hence:
r=0.02419~2.419%

Answer:

Step-by-step explanation:

The answer is 2.5%

Find the volume of the tetrahedron having the given vertices. (3, −1, 1), (5, −2, 4), (1, 1, 1), (0, 0, 1)

Answers

Given four vertices of a tetrahedron, we need to find its volume.
A(3,-1,1), B(5,-2,4), C(1,1,1), D(0,0,1)

The simplest method is to use vectors.

Here, we calculate the volume of a parallelepiped defined by vectors AB, AC, AD. The volume of a tetrahedron is one-sixth of the volume of the parallelepiped, V, given by AB.(ACxAD).
Here are the steps:
1. Choose a vertex, say A. Calculate vectors AB, AC and AD
AB=(5-2,4)-(3,-1,1) = <2, -1, 3>
AC=(1,1,1)-(3,-1,1) = <-2, 2, 0>
AD=(0,0,1)-(3,-1,1) = <-3, 1, 0>
2. Calculate vector cross product ACxAD = <-2,2,0>x<-3,1,0>
i j k
-2 -2 0
-3, 1, 0
=<0-0, 0-0, -2-(-6)>
= <0, 0, 4>
3. Calculate volume of parallelepiped, equal to the dot product AB.(ACxAD), ignore sign, which is arbitrary.
V = |<2, -1, 3>.<0,0,4>| = |12| = 12
4. Calculate volume of tetrahedron, which is one-sixth of volume of parallelepiped
V(tetrahedron) = V/6= 12/6 = 2

Find f(1/4) when f(x)=2x^2+9x-7

Answers

Final answer:

To find f(1/4) when f(x)=2x^2+9x-7, substitute x=1/4 into the function and simplify.

Explanation:

To find f(1/4) when f(x) = 2x² + 9x - 7, we substitute x = 1/4 into the function.

Plugging in the value of x, we have f(1/4) = 2(1/4)² + 9(1/4) - 7.

Simplifying the expression, we get f(1/4) = 2/16 + 9/4 - 7. Evaluating the fractions and subtracting, we find that f(1/4) = -45/16.

Learn more about function evaluation here:

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HELP ME ASAP! (graphing problem)

Answers

Try this option:
way 1: using the picture, if x=-3 then y=-6.
way 2: the equation of this line is y=x-3; it means that y(-3)=-6.

A probability experiment consists of rolling a a 6 6-sided die. find the probability of the event below. rolling a number with exactly 2 not necessarily unique prime factors number with exactly 2 not necessarily unique prime factors

Answers

The probability of rolling a number with exactly two prime factors on a six-sided die is 1/3, as there are two outcomes (4 and 6) with exactly two prime factors and six possible outcomes in total.

The student is asking about the probability of an event in a probability experiment involving rolling a single six-sided die. The specific event of interest is rolling a number with exactly two, not necessarily unique, prime factors. On a standard six-sided die, the faces are labeled with the numbers 1 through 6. When considering the numbers on a die with two prime factors, we must first identify which of these numbers have exactly two prime factors. The numbers are:

4 has two prime factors: 2 and 2 (2 squared).6 has two prime factors: 2 and 3.

The other numbers (1, 2, 3, and 5) have fewer than two prime factors. Since 4 and 6 are the only outcomes with exactly two prime factors, we have two favorable outcomes out of six possible outcomes on a six-sided die.

Thus, the probability of rolling a number with exactly two prime factors is:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 2 / 6 = 1 / 3

Therefore, the probability of the event is 1/3, or approximately 0.3333 (repeating).

Omar uses 1/6 of his tickets to ride the water slide. How many tickets does he use he has 24 in total?

Answers

Omar used 4 tickets.
Have a brainy day.

[tex] \frac{24}{1} [/tex] × [tex] \frac{1}{6} [/tex] = [tex] \frac{24}{6} [/tex] = 4

Are there any points on the hyperboloid x^2 - y^2 - z^2 =1 where the tangent plane is parallel to the plane z = x + y ?

Answers

i dont know i will tell you when i find out

You buy a house for $130,000. It appreciate 1.6% per year. identify the initial amount, growth rate and growth factor for the situation above. Then great an equation that will model it.

Answers

[tex]\bf \qquad \textit{Amount for Exponential Growth}\\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\to &\$130000\\ r=rate\to 1.6\%\to \frac{1.6}{100}\to &0.016\\ growth~factor\to &1+0.016\\ t=\textit{elapsed time}\\ \end{cases} \\\\\\ A=\stackrel{P}{130000}(\stackrel{growth~factor}{1+\stackrel{r}{0.016}})^t[/tex]

how do you solve 7 over 20=?

Answers

Hello there! They want you to find the decimal of the fraction. All you have to do is divide the number on top by the number at the bottom. 7/20 = 0.35

Katie filled a measuring cup with 9/10 of a cup of vegetable oil. Then she poured 1/4 of a cup of the oil into a frying pan. How much oil is left in the measuring cup? Simplify your answer.

Answers

Hello,

The answer is "4/5".

Reason:

First write the equation:

9*4=36
10*4=40
-
1*4=4
4*10=40

36-4=32

32/2=16/2=8/2=4
40/2=20/2=10/2=5

=4/5

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

your water hose is leaking at a rate of 0.25 cups per hour. how many gallons did you hose leak in a full 24 hour day

Answers

I believe that the answer is 6 balloons.

Solution:

we are given that

water hose is leaking at a rate of 0.25 cups per hour.

We have been asked to find that

how many gallons did you hose leak in a full 24 hour day.

Since water hose is leaking at a rate of 0.25 cups per hour.

It mean the tank will leak by [tex] 0.25*4=1 \ Cup [/tex] in 4 Hours.

So in 24 Hours the tank will leak by [tex] \frac{24}{4}*1=6*1=6 \ Cups [/tex] .

As we know that 1 Gallon=16 Cups.

It mean in 24 Hours the tank leaked by [tex] \frac{1}{16}*6= 0.375 \ Gallon [/tex]

Please help!! Dexter made a frequency distribution, setting up groups for the data shown.
His first group was for 20-24. What was the frequency of his forth group?
42 33 28 27 51 29 31 42 38 49 35 30 22 27 26 41 47 33

Answers

42 43 I mean 3328 2151 2931 Covey to 3840 to 4935 40 22 27 2641 47th

The frequency of Dexter's fourth group (35-39) in his frequency distribution is 2. This was determined by counting the numbers within the 35-39 range from the provided data set.

Calculating the Frequency of the Fourth Group:

To calculate the frequency of the fourth group in Dexter's frequency distribution, let's first establish the groups.

First Group: 20-24Second Group: 25-29Third Group: 30-34Fourth Group: 35-39

Next, we'll count how many data points fall within each range:

3538

Thus, there are 2 data points in the fourth group (35-39).

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?

5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 8 cm

Answers

Assuming your version of the triangle inequality requires the other two sides to add to more than 13 cm, the only pair of lengths that does so is
8 cm and 8 cm

_____
Sometimes, the triangle inequality is expressed as
a + b ≥ c
For that version, all except the 3rd choice would be viable.

Answer:

Step-by-step explanation:

Use the inverse of the function y = x2 − 18x to find the unknown values. y=+/= square root of bx+c+d

Answers

y = x2 - 18x

We look for the inverse of the function.
To do this, let's determine the value of x:
y = x2 - 18x
y = (x + (-18/2)) ^ 2 - ((-18) ^ 2/4) + 0
y = (x - 9) ^ 2 - 81
y + 81 = (x - 9) ^ 2
+/- root (y + 81) = (x - 9)
+/- root (y + 81) + 9 = x
We return the change:
f (x) ^ - 1 = +/- root (x + 81) + 9
Therefore, the values sought are:
b = 1
c = 81
d = 9
Answer:
f (x) ^ - 1 = +/- root (x + 81) + 9
b = 1
c = 81
d = 9

The inverse of a function is its opposite

The values of the unknown are: b = 1, c = 81 and d = 9

The function is given as:

[tex]y = x^2 - 18x[/tex]

Rewrite the equation in vertex form as:

[tex]y = (x - 9)^2 - 81[/tex]

Swap the positions of x and y

[tex]x = (y - 9)^2 - 81[/tex]

Add 81 to both sides

[tex](y - 9)^2 = x + 81[/tex]

take the square roots of both sides

[tex]y - 9 = \pm\sqrt{x + 81}[/tex]

Add 9 to both sides

[tex]y = \pm\sqrt{x + 81} + 9[/tex]

By comparison, the values of the unknown are:

b = 1, c = 81 and d = 9

Read more about inverse functions at:

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Write the fraction as money amount 65/100

Answers

If this was money, then it would be $0.65.

A box contains 3 red balls, 2 white balls, and 5 black balls. two balls are drawn at random from the box (with replacement of the first before the second is drawn). what is the probability of getting a red ball on the first draw and a white ball on the second?

Answers

The chance of two events both occurring is the product of the chances of each individual event occurring. The chance of getting a red ball on the first draw is 3/10. The chance of getting a white ball on the second draw is 1/5. So, the chance of both happening is 3/50.

What is the Pythagorean Theorem and what is the equation for it?

Answers

Hey there! :)

The Pythagorean Theorem is quite simply a mathematical equation used to determine the third side of a triangle. It can be used to find out ANY side of a given triangle.

For example, if you are given the hypotenuse of a triangle, as well as another leg, then you can quite simply plug everything in!

Here is the equation :

a² + b² = c²

Where :

a = random leg of the triangle
b = another random leg of the triangle
c = hypotenuse of the triangle

I've given you an example for future references, placed down below :)

~I hope this helped!~

Can anyone help me with this?

Answers

It will be half the length of the leg of the triangle that has 24 as its hypotenuse and 19.2 as its longer leg.
.. x = (1/2)√(24² -19.2²)
.. x = 7.2

The 2nd selection is the correct one.

These are the first sentences in the short story, “The Gift of the Magi,” by O. Henry: one dollar and eighty-seven cents. That was all. And sixty cents of it was in pennies.” A. Simplify the equation that represents the value of the coins. Make it an equation that expresses the value of quarters, dimes, and nickels. B. Is it possible to have exactly 60 pennies in $1.87? Explain.

Answers

98 a or 6.98 my be if its not sorry

Answer:

From the given problem statement of the this question,the amount of the gift is 1 dollar and sixty cents

x=60*B

Yes is it possible to have 60 pennies in $1.87

BRAINLIEST!!!

What is the trigonometric ratio for sin S?

Enter your answer, as a simplified fraction, in the boxes.

Answers

Answer: [tex]\frac{8}{17}[/tex] or 8:17

Step-by-step explanation:

For any angle x (other than right angle) in a right triangle ,the trigonometric ratio of sin x is given by :-

[tex]\sin x=\frac{\text{side opposite to x}}{\text{Hypotenuse}}[/tex]

Given: A right triangle with hypotenuse = 68 units

The side adjacent to S = 60

Let h be the side opposite to S, then using Pythagoras in the given right triangle, we get

[tex](68)^2=60^2+h^2\\\\\Rightarrow\ h^2=68^2-60^2\\\\\Rightarrow\ h^2=1024\\\\\Rightarrow\ h=\sqrt{1024}=32[/tex]

Thus, the side opposite to S = 32 units

Now, the trigonometric ratio for sin S is given by :-

[tex]\sin S=\frac{\text{side opposite to S}}{\text{Hypotenuse}}\\\\\Rightarrow\sin S=\frac{32}{68}=\frac{8}{17}[/tex]

Hence, the trigonometric ratio for sin S =[tex]\frac{8}{17}[/tex] or 8:17

solve. -2/5x-9<9/10 show all steps pleaseee!!

Answers

x > -99/4

Hope this helped! ♡

Add 2/5x
-9 < 9/10 +2/5x
Subtract 9/10
-9 9/10 < 2/5x
Multiply by 5/2
(-99/10)*(5/2) < x
-99/4 < x
or, if you prefer, ...
-24 3/4 < x

How many inches are in 12 feet?

Answers

Hey there!

Remember, there are 12 inches in 1 foot so multiply 12 by 12 . . .

12 x 12 = 144 <-------

The answer to your question is 144 inches.

There are 144 inches in 12 feet.

Hope this helps you.
Have a great day!

Answer:

There are 144 inches in 12 feet.

help me please show ur work

Answers

Let the length of the patio is x and width is 3/4x
So according to the equation x.3/4x = 432
x^2. 3/4 =432
x^2 =432 times 4/3
x^2 =1728/3 =576
x= 24

The length is 24 ft

Compare the Triangle Proportionality Theorem and the Triangle Midsegment Theorem.

Answers

A midsegment of a triangle is parallel to one side of the triangle, and its length is one half of the length of that side.

If a line is parallel to one side of a triangle and intersects the other two sides, then it divides the sides into segments of proportional lengths.

A circle has an area 324 pi cm. What is the radius?

Answers

area of circle = [tex] \pi r^{2} [/tex]

if area is given as [tex]324 \pi [/tex]
then r² = 324
r = √324
r = 18 cm

Ans: The radius is 18 cm

The radius of the circle with an area of 324π sq cm is 18 cm.

What are the circumference and diameter of a circle?

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

We know, The area of a circle is πr².

So, We can equate the given area with the general formula,

324π = πr².

r² = 324.

r = 18 cm.

A clock can be thought of as a circle having 12 steps and we know that circle is 360°,

So, the measure of each integer step of a clock is 30°.

Also, If we want to find some portion(arc) of the circumference we use the formula, s = rФ.

learn more about circles here :

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solve equations using addition x+y=5 and x-y=3

Answers

x + y = 5 ---------- (1)
x - y = 3 ----------- (2)

(1) + (2):
2x = 8
x = 4 ----------- sub into (1)

4 + y = 5
y = 5 - 4
y = 1

Ans: x = 4, y = 1

Given: ΔXYZ

AB is a midsegment parallel to XZ. The slope of XZ is 4.

What is the slope of AB?

Answers

neverminding for a second that AB is a midsegment of anyone.

we know the slope of XZ, and we know AB is parallel to XZ, well, parallel lines have the same slope.

The correct answer is 4.

Since AB is a midsegment parallel to XZ, its slope and the slope of XZ are the same.

Help with this math question please

Answers

Principal Amount = P = $1600
Interest rate = r = 6.5% = 0.065
Time in years = t = 6

Formula for compound interest is:

[tex]A=P e^{rt} [/tex]

Using the values, we get:

[tex]A=1600 e^{0.065*6}=2363.17 [/tex]

Rounding of to nearest hundredth, the balance in the account after 6 years will be $2363.17

which number is least to greatest 42%,0.43,17/40

Answers

42%, 17/40, 0.43

Hope I helped!

Let me know if you need anything else!

~ Zoe (Rank:'Genius')

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