How much money was invested at 5% annual simple interest for 4 years to earn $2870?
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.
Write an equation for the nth term of the arithmetic sequence −3, 2, 7, 12, Then find a50.
The equation is =___
Answer:
Pretty much f(n)=-3+5n-1
Step-by-step explanation:
for the 50th term 242
There are 54 students in a speech contest. Yesterday, 1/3 of them gave their speeches. Today, 2/3 of the remaining students gave their speeches. How many
Answer:
18 student gave there speech yesterday
36 students gave there speech today
Step-by-step explanation:
54 total
54 * 1/3 = 18 student gave there speech yesterday
54*2/3 = 36 students gave there speech today
Hope this helps!
(Please mark ask brainiest)
Thanks!
What does cross-sectional mean
Answer:
exposed by making a straight cut through a solid form, especially at right angles to an axis.
"the cross-sectional area of the wood"
or
constituting a typical or representative sample of a larger group.
"a cross-sectional survey of high school students"
ig
pick a number, any number.
If it's even, divides it by 2. If it's odd, multiply it by 3 and add 1. Now repeat those steps again with your new number. Eventually, if you keep going, you'll eventually end up at 1 every single time
(please help me)
Answer: 1
Step-by-step explanation:
1 x 3 + 1=4
4/2=2
2/2=1
the same thing happens again,
1 x 3 +1=4
4/2=2
2/2=1
therefore the number is 1 when I first started
Answer: If this is a True or False Question the Answer is False
Step-by-step explanation:
Why? because if you pick -1 (negative one) the answer will always be negative.
Robert has 4 times as many pennies as he does nickels. If Robert has $1.44 worth of pennies and nickels, how many nickels does he have?
Classify the quadrilateral, Explain your reasoning. Thank you!!
Answer: y=7, x=2
Step-by-step explanation:
∠Q+∠P=180° (∠s between 2 // lines)
97°+(12y-1)°=180°
12y-1=83°
12y=84
y=7
5x+6=8x (Iso triangle)
x=2
what is the length of DE
Answer:
Step-by-step explanation:1
Michelle is scuba diving. Her position changes from -2.1 m to -38.6 m in 6 1/4 minutes. What is the average change in Michelle’s position each minute. Show your work.
Answer: 5.824 m / min
Step-by-step explanation:
Change in position = -2.1m to -38.6m
Distance = |-38.6 m - (-2.1m) |
=|-36.5| m
= 36.5 m
Time =
The average change in Michelle's position each minute =
Hence, the average change in Michelle's position each minute = 5.824 m / min
9.-¿Cuál es el resultado correcto de esta
expresión aritmética: 14 - 8 + 3( -9-6)+ 27 / 9
+ raiz cuadrada 16 - 62
Answer:
-94
Step-by-step explanation:
14 - 8 + 3(-9 - 6) + 27/9 + √16 - 62 =
= 6 + 3(-15) + 3 + 4 - 62
= 6 - 45 + 7 - 62
= -39 + 7 - 62
= -32 - 62
= -94
can you please help me
Answer:
84000
Step-by-step explanation:
just searched it up plus you have to multiply it
Please help me ASAP please please
Answer:
67
Step-by-step explanation:
CB is 90 degrees, subtract that from 23 degrees, you get 67
Answer:
67 brainlest
Step-by-step explanation:
Calculate the difference and enter it below. -9-(-10) Answer here
Answer:
-9-(-10)
=-9+10
=1
Select the number line that shows that two opposite numbers have a sum of 0.
[tex]Hiya![/tex]
Sokka is here to help!
I believe it is A..
Hopefully, this helps you!!!
[tex]Sokka[/tex]
Answer:
Option B is correct.
Step-by-step explanation:
The question said "Opposite numbers and the sum of those numbers is 0". Let's see if Option B has these abilities.
3 - 3 = 0 ✔Are they opposites of each other? ✔=> Therefore, Option B is the correct answer.
The distance between Kathmandu to Hetauda is 86 km. convert the distance from km into meter (m).
Answer:
86000 meters
remeber: 1km = 1000m
so.....
86 x 1000 = 86000 right?? ;-;
a patient is prescribed motrin 800mg, 1 tablet 3 times daily. What would the days supply be for 30 tablets?
Based on the number of tablets to be taken per day, the days supply for 30 tablets would be 10 days.
The patient is to take a tablet 3 times a day which means that they are to take:
= 1 x 3
= 3 tablets daily
If they have 30 tablets, this will last:
= Number of tablets / Tablets per day
= 30 / 3
= 10 days
In conclusion, it will take 10 days for the tablets to run out.
Find out more at https://brainly.com/question/13043215.
Is 34/18 greater or less than or equal to 1 5/6
Answer:
34/18 is greater than 1 5/6.
Step-by-step explanation:
hope this helps. . .<3
good luck! uωu
Answer:
greater than
Step-by-step explanation:
1=6/6 and 6+5=11, so 1 5/6= 11/6
Next, you want to find a common denominator, in this case 18
11/6=x/18
x=33
11/6=33/18
34/18 > 33/18
Does Timmy really brush his teeth before bedtime?
Remember when you were a kid and you were told to brush your teeth before
going to bed? How many of us pretended to brush our teeth thinking that no one
would notice? (It probably took more time to pretend than it would have been to
just brush our teeth in the first place.)
Here we have a null hypothesis, an alternative hypothesis, and the data (evidence).
Null the
Were Hypothesis
They rushed
His Teeth
Teled Not truth
e Tea
The Data
Dry Toothbrush
• What level of significance would you choose, 0.1 or 0.01? Explain.
. Would you reject or not reject the null hypothesis based on the data (a dry
toothbrush)? Explain.
Is there anything that could go wrong with your decision? Explain.
• If something could go wrong, what type of error would that be?
Answer:
no he doesnt brush his teeth
Step-by-step explanation:
if k=6 what is the value of 7k-2
Answer:
7x6-2=40
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
7k -2 =
7(6) - 2
42 -2
40
You are welcome!
Kayden Kohl
8th Grade Student
Write the numbers in order from least to greatest -4, 5/2, 3, 0, -8/3
Answer:
-4,-8/3,0,3,5/2
Step-by-step explanation:
im sorry if this is wrong but this is what i think it is .
consider h(x)=x^2+8+15. identify its vertex and y-intercept.
Answer:
Vertex: (-4, -1)
Y-intercept: (0, 15)
Step-by-step explanation:
Given the quaratic function, h(x) = x² + 8x + 15:
In order to determine the vertex of the given function, we can use the formula, [tex][x = \frac{-b}{2a}, h(\frac{-b}{2a})][/tex].
Use the equation: [tex][x = \frac{-b}{2a}, h(\frac{-b}{2a})][/tex]In the quadratic function, h(x) = x² + 8x + 15, where:
a = 1, b = 8, and c = 15:
Substitute the given values for a and b into the equation to solve for the x-coordinate of the vertex.
[tex]x = \frac{-b}{2a}[/tex]
[tex]x = \frac{-8}{2(1)}[/tex]
x = -4
Subsitute the value of the x-coordinate into the given function to solve for the y-coordinate of the vertex:
h(x) = x² + 8x + 15
h(-4) = (-4)² + 8(-4) + 15
h(-4) = 16 - 32 + 15
h(-4) = -1
Therefore, the vertex of the given function is (-4, -1).
Solve for the Y-intercept:The y-intercept is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:
h(x) = x² + 8x + 15
h(0) = (0)² + 8(0) + 15
h(0) = 0 + 0 + 15
h(0) = 15
Therefore, the y-intercept of the quadratic function is (0, 15).
Find the product.
-8x5y2 · 6x2y
-8x10y2
-8x7y3
-48x7y3
-48x10y2
Find the product.
(3a4 + 4)2
6a4 + 8
9a8 + 16
9a8 + 24a4 + 16
9a16 + 24a4 + 16
Answer:
4 better explanation inbox
Step-by-step explanation:
helppppppppppppppppppppp!
Answer:
1:3
Step-by-step explanation:
Since your scaling down you divide the smaller number by the larger number
7/21=1/3
=1:3
Hope this helps :)
Can anyone please help??
Determine whether the inverse of F(c) is a function
which inequality represents this graph
Answer:
it would be the first one!
Answer:
z ≥ -10, which is the first answer.
Step-by-step explanation:
As you can see, on the graph there is a point filled in with a line pointing to the right. That would mean the sign would be ≥, as Z is GREATER than or EQUAL TO.
Determine the greatest common factor of the numbers 24 and 56
Answer:
8
Step-by-step explanation:
yw :)
There are 25 students in a class, and 6 of them will be chosen to go on a field
trip. How many ways can these students be chosen?
Perimeter of a trapezoid is 39a-7. Three sides have the following length 9a, 5a+1, and 17a-6 what is the length of the fourth side
Answer:
4th side is 8a-2
Step-by-step explanation:
P = 39a-7 - ((17a-6) + (9a) + (5a+1))
P = 39a-7 - (31a-5)
P = 8a-2
What is the slope of the line y = -4?
Solve the system. Estimate the solution first. Enter whole numbers for the estimated solution and
improper fractions in simplest form for the algebraic solution.
6x + y = 2
1 x - 4y = 2
The estimated solution is (__,__)
Answer:
using substitution method you'll be able to get the value of x then after finding x