Answer:
Principal (amount invested) = $14,350
Step-by-step explanation:
Given the simple interest amount of $2,870 earned in 4 years at 5% interest rate:
In order to find the principal amount that was invested, we could use the simple interest formula and isolate the variable, P, algebraically.
I = P × r × t
where:
I = interest earned = $2,870
P = principal amount invested = ?
r = interest rate = 5% or 0.05
t = time = 4
Divide both sides by (r × t ) to isolate P :
[tex]\displaystyle\mathsf{\frac{I}{(r\:\times\:t)}\:=\:\frac{P\:\times\:r\:\times\:t}{(r\:\times\:t)}}[/tex]
[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}}[/tex]
Substitute the given values into the formula for P:
[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}\:=\:\frac{2870}{0.05\:\times\:4}}[/tex]
[tex]\displaystyle\mathsf{P\:=\frac{2870}{0.20}=14,350}[/tex]
Therefore, the principal amount invested is $14,350.
Let f(x)= - 4x - 1 and g(x)=x² - 5
Find (fog)(-2).
[tex]f(x) = -4x-1\\\\g(x) = x^2 -5 \\\\g(-2) = (-2)^2 -5 = 4 -5 =-1\\\\(f \circ g)(-2)\\\\=f(g(-2))\\\\=f(-1)\\\\=-4(-1) -1 = 4-1=3[/tex]
Which equation illustrates the matrix associative property of addition?
Answer:
A expresses the ASSOCIATIVE PROPERTY OF ADDITION.
Step-by-step explanation:
Liam had $250. Then, he and his classmates bought a present for their teacher, evenly splitting the $p cost
among the 24 of them.
How much money does Liam have left?
Write your answer as an expression.
$=
Answer:
250 - [tex]\frac{p}{24}[/tex]
Step-by-step explanation:
Since we have given that
Amount that Liam has = $250
Amount that he and his classmates spent on present for their teacher =$p
Number of students in which $p will split = 24
According to question,
Amount that left to Liam is given by
250 - [tex]\frac{p}{24}[/tex]
Hence, the required expression will be
250 - [tex]\frac{p}{24}[/tex]
(Hope this helps can I please have brainlist (crown)☺️)
59 oz = ____ lb ______oz
Explain yourselves
Answer:
3 lb 11 oz
Step-by-step explanation:
Divide 59 by 16
Answer:
3 pound and 11oz
Step-by-step explanation:
hop3 this helps
PLEASE HELP
Create a cubic function that is not the parent function.
Explain how to graph your cubic function using transformations from the parent function. Be specific in your response and use correct mathematical language.
A cubic function is a function that has a power of 3, and three real roots.
The cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis
The parent cubic function
[tex]\mathbf{f(x) = x^3}[/tex]
A transformed function of the cubic function may be
[tex]\mathbf{g(x) = -x^3}[/tex]
g(x) means that function f(x) is reflected across the y-axis.
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{g(x) = -f(x)}[/tex]
Substitute x^3 for f(x)
[tex]\mathbf{g(x) = -x^3}[/tex]
Hence, the cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis
Read more about cubic functions at:
https://brainly.com/question/20896994
Last year 85 students in 7th grade This school year only 68 What is the percent decrease?
Answer: 11.11%
17:153*100 =
(17*100):153 =
1700:153 = 11.11
Solve for x:
Spam: WHSIYWsugwediywedw
Answer:
um whats m or y?
Step-by-step explanation:
Answer:
[tex]x=3m+y[/tex]
Step-by-step explanation:
Let's solve for [tex]x[/tex].
[tex]m=\frac{x-y}{3}[/tex]
Step 1: Flip the equation.
[tex]\frac{1}{3}x+\frac{-1}{3}y=m[/tex]
Step 2: Add [tex]\frac{1}{3}y[/tex] to both sides.
[tex]\frac{1}{3}x+\frac{-1}{3}y+\frac{1}{3}y=m+\frac{1}{3}y[/tex]
[tex]\frac{1}{3}x=m+\frac{1}{3}y[/tex]
Step 3: Divide both sides by [tex]\frac{1}{3}[/tex].
[tex]\frac{\frac{1}{3}x }{\frac{1}{3} } ={\frac{m+\frac{1}{3}y }{\frac{1}{3} }[/tex]
[tex]x=3m+y[/tex]
Answer:
[tex]x=3m+y[/tex]
what you've learned from it. Was it a success or a challenge?
Round 2,913 to the nearest ten
Answer:2,910
Step-by-step explanation:
Answer:
2910
Step-by-step explanation:
We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.
We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.
If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.
Please Help, i am stuck on this question......
BEST ANSWER GETS BRAINLIEST!!!!
A store is having a sale on trail mix and jelly beans. For 3 pounds of trail mix and 8 pounds of jelly beans, the total cost is $31. For 5 pounds of trail mix and pounds of 2 jelly beans, the total cost is 12. Find the cost for each pound of trail mix and each pound of jelly beans.
Answer:
trail mix costs 1.00 per pound
jelly beans costs 3.50 per pound
Step-by-step explanation:
t = cost of trail mix
b = cost of jelly beans
3t+8b = 31
5t+2b = 12
Multiply the second equation by -4
-4(5t+2b = 12)
-20t+-8b = -48
Add this to the first equation
3t+8b = 31
-20t+-8b = -48
-------------------------
-17t = -17
Divide by -17
t = 1
Now we can find b
3t+8b = 21
3(1) +8b = 31
3+8b =31
Subtract 3
8b = 31-3
8b = 28
Divide by 8
b = 28/8
b = 7/3
b = 3.50
Let trail mix be x and jelly beans be y
The equations are
3x+8y=31-(1)5x+2y=12-(2)Multiplying (1) by 1 and (2) by 4
3x+8y=31---(3)20x+8y=48--(4)Subtracting
[tex]\\ \sf\longmapsto -17x=-17[/tex]
[tex]\\ \sf\longmapsto x=1[/tex]
Putting in eq(2)
[tex]\\ \sf\longmapsto 5(1)+2y=12[/tex]
[tex]\\ \sf\longmapsto 2y=7[/tex]
[tex]\\ \sf\longmapsto y=7/2[/tex]
6+13+20...+(7n-1) Find the sum.
Answer:
2.5n+3.5n^2
Step-by-step explanation:
(6+7n-1)*n/2=2.5n+3.5n^2
Given 4(3x-8)=52 prove x=7
Answer:
4(3x-8)=52
divide both sides by 4
4/4(3x-8)=52/4
3x-8=13
add both sides by 8
3x-8+8=13+8
3x=21
divide both sides by 3
3x/3=21/3
x=7
Step-by-step explanation:
this question got asked three times =)
Answer:
52 is the answer
Step-by-step explanation:
You always work with your paratheses first. Work with your variable(s) to make things easier. Plug in the number given for your variable.
3(7)=21
Subtract the numbers in the paratheses once you have found the number with the variable.
21 - 8 = 13
Last step is to combine the number in the parentheses with the number(s) out of the parentheses. Depending on the equation, the number outside of the parentheses will have to be added/subtracted/multiplied/divided. In this equation, we have to multiply since there´s no given sign for multiplying. You automatically know you have to multiply because the number is right next to the parentheses.
4 * 13 = 54 or 13 * 4 = 54
I hope this helps u! :D
shelby traveled 50 miles to her friends house every weekend until she found a shortcut now she travels 46 miles what is the percent of change
Answer:
8% decrease
Step-by-step explanation:
50 x 2 = 100
46 x 2 = 92
100 - 92 = 8
Help pls will give brainlist
Answer:
should be c
Step-by-step explanation:
Answer:
B) is the answer I hope I could help
This image shows that when a football is kicked, the nearest defensive player is 6 feet from the kicker’s foot. The height of the punted football, f(x), in feet, can be modeled by the equation. Round all answers to 2 decimals. ()=−0.0152 +1.25+2 a. (2 points) What is the maximum height of the punt?
Using the vertex, it is found that the maximum height of the punt is of 27.7 feet.
The height of the punt, after x seconds, is given by:
[tex]f(x) = -0.0152x^2 + 1.25x + 2[/tex]
It is a quadratic equation with coefficients [tex]a = -0.0152, b = 1.25, c = 2[/tex].
The maximum value is the value of the function at the vertex, hence:
[tex]f_V = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]
Applying the coefficients:
[tex]f_V = -\frac{b^2 - 4ac}{4a} = -\frac{(1.25)^2 - 4(-0.0152)(2)}{4(-0.0152)} = 27.7[/tex]
The maximum height of the punt is of 27.7 feet.
A similar problem is given at https://brainly.com/question/16858635
Simplify: 5 + p > 3
p < 8
p < -2
p > 8
p > -2
Answer:
[tex]p>-2[/tex]
Step-by-step explanation:
[tex]5+p>3\\\\5+p-5>3-5\\\\p>-2[/tex]
Answer:p < -2
Step-by-step explanation:
Teddy has 23 boxes of juice packed and plans to pack 3 additional boxes each hour. Charley has 7 boxes packed and plans to pack 5 additional boxes each hour. The equation below represents when Teddy and Charley will have packed the same number of boxes, based on x number of hours.
23 + 3x = 5x +7
After how many hours will Charley have packed the same number of boxes of juice as teddy?
Answer:
8 hours
Step-by-step explanation:
23 + 3x = 5x + 7
- 3x -3x
23 = 2x + 7
-7 - 7
16 = 2x
16/2 = 2x/2
x = 8
Answer:
BillyBob got it right, well explained..
Step-by-step explanation:
Can someone please help with my math homework? this is so confusing.
A warehouse placed 10 equal weight bones on a scale. Total they weighed 6 pounds. Each
box weighed
of a pound
I need help I been here all day trying to solve this I'm good I reading not math
32,760 is the answer!!
Find the values for a, b, and c for this quadratic equation. 3x^2 - x - 1 = 0
Answer:
a = 3, b = -1, c = -1
Step-by-step explanation:
3x² - x - 1 = 0 ⇒ 3x² - 1x - 1 = 0
a = 3, b = -1, c = -1
represent each solution on a number line 3
I don't know how to represent it on a nomberline
I
what is the correct order of reasons to complete the proof??
Answer: Choice B
I, I, V, II
======================================================
Explanation:
When doing any proofs, we always repeat what is given to us. In this case, the given statements are
QT = RSQS = RTIt seems weirdly redundant to repeat these statements back to the teacher, but this is how all proofs start off. You state what is given and the reason is simply "given". So far the answer is narrowed down to choice B or choice C, due to the "statement I" listed twice like that.
From those statements, we build toward what we want to prove. Those two given statements tell us we have two pairs of congruent sides. If we could prove a third pair of sides are congruent, then we can use SSS which stands for "side side side". It turns out that we are more or less automatically given the third pair of sides in the form QR = QR, which is true by the reflexive property. This property says that any segment is congruent to itself. So we'll have statement V listed after statement I twice. The sequence so far is I, I, V. At this point, we can conclude that choice B must be the final answer. Sure enough, statement II involves SSS just like mentioned earlier.
4. 8 is what percent of 18?
Answer:
the answer is 26.6666667 and when rounded off is 26.7
Please help me please
[tex]\huge \bf༆ Answer ༄[/tex]
The translation can be can be expressed as : -
A translation
up 8 units and left 7 units[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
domain and range of y = x/(x+4)
Answer:
Step-by-step explanation:
[tex]y=\frac{x}{x+4}[/tex]
for domain x+4≠0
x≠-4
domain={R-{-4}}
R=all real numbers.
y(x+4)=x
yx+4y=x
yx-x=-4y
x(y-1)=-4y
[tex]x=-\frac{4y}{y+1} \\y+1\neq 0\\y\neq -1\\[/tex]
so Range ={R-{-1}}
Help help help
Help hep help
Answer:
-2
Step-by-step explanation:
-4x-2x ≤ 17-5
-6x ≤ 12 | /(-6)
x ≥ -2
I need help with number 9 please
Answer:
29.85
Step-by-step explanation:
1 month = 9.95
2 months = 19.9
3 months= 29.85
It shows the progression through three months and how much it was starting off from one month.
Answer: $29.85
per day it charges $9.95
she has the subscription for three months
we will then multiply the amount charged per month
$9.95 x 3 = $29.85
I hope this helps! :)
Hi! ❤️ , im looking for some (accurate) help here.
ill give brainliest if able to.
Answer:
A
Step-by-step explanation:
70000 is 100 times greater than 700