Quinn invested $8,500 in a savings account. If the interest rate is 2.98%, how much will be in the account in 12 years by compounding continuously? Round to the nearest cent.
Answer:
$12,154.10.
Step-by-step explanation:
Identify the values of each variable in the formula. Remember to express the percent as a decimal.
APrt=?=$8,500=0.0298=12 years
For compounding continuously, use the formula A=Pert.
Substitute the values into the formula and compute the amount to find
AA=8,500e0.0298⋅12=$12,154.10.
PLease help, i'm struggling and can't find the answer anywhere
1 ÷ (4 × 4 × 4 × 4 × 4)
P.S. I need it in fraction form
Answer:
1/1024
Step-by-step explanation:
It can also be written as 1/4^5 and you just have to simplify it.
If the base angles of an isosceles triangle each measure 37 degrees, then the
vertex angle measures 106 degrees. *
True
False
pls help
Answer:
The statement is true.
Step-by-step explanation:
The statement is true.
Reason:
The sum of all angles of triangle is equal to 180°
If base angles are 37° and vertex angle is 106° there sum must be equal to 180°
Checking: 37+37+106 = 180°
So, the statement If the base angles of an isosceles triangle each measure 37 degrees, then the vertex angle measures 106 degrees is true.
Answer:
TRUE
wrekgl;3f
There are many properties of exponents. These properties are used to make problems with exponents simpler. 1] Choose one of the properties and explain why it isbtrue. Then write a numerical expression and use the property you chose to simplify the expression.
a^m × a^n = a^(m+n)
means that when you take a number, a, multiplied by itself m times, and multiply that by the same number a multiplied by itself n times, it's the same as taking that number a and raising it to a power equal to the sum of m and n.
To prove this, we can verify it numerically:
Let us take,
a = 10
m = 2
n = 5
Now,
10² × 10⁵ = 10²+⁵
100 × 100000 = 10⁷
10000000 = 10000000
Another example,
Let us take,
a = 2
m = 0
n = 3
Now,
2⁰ × 2³ = 2⁰+³
1 × 8 = 2³
8 = 8
A middle school took all of its 6th grade students on a field trip to see a symphony at a theater that has 4980 seats. The students filled 3237 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer: 65%
Step-by-step explanation: *using the butterfly* x over 100 equals 3237 over 4980. multiple to get 4980x=323700. divide to get x by itself. x=65
Answer:
53.85%
Step-by-step explanation:
The percentage increase from 3237 to 4980 is 53.85%.
What is one element a topographic map shows?
Air flow
Climate
People
Relief help me pls
Answer:
air flow?
Step-by-step explanation:
Step-by-step explanation:
Topographic Mapping Elements for Digital Map Products
contour lines.
contour related text.
spot elevations.
spot elevation related text.
according to this i think b) climate is the answer
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f(x) = (x + 3)(2x − 2)
Answer:
2x³/3 +2x²-6x+C
Step-by-step explanation:
Given the function
f(x) = (x + 3)(2x − 2)
Expand first
f(x) = 2x²-2x+6x-6
f(x) = 2x²+4x-6
Integrate the resulting function
Integrate (2x²+4x-6) =2x³/3 + 4x²/2 - 6x + C
= 2x³/3 +2x²-6x+C
For us to check the correctness, we need to differentiate the answer and we must arrive back at the question
On differentiating 2x³/3 +2x²-6x
3(2/3)x² + 2(2)x¹ -6
= 6/3x²+4x-6
= 2x²+4x-6
This shows the answer is correct.
The correct anti derivative of the function is 2x³/3 +2x²-6x+C
olve each problem.
1) A pizza chain uses 651 grams of cheese on their pizzas. If they sold 905 pizzas, how many
grams would they have used?
Answer:
221
Step-by-step explanation:i did this before and got 100% so trust me
Answer:
651 x 905 = 589155 Grams of cheese
Step-by-step explanation:
The area of the Arctic Ocean is about 5 million square miles. This is about 16% of the area of which ocean shown in table?
Answer:
25✓
Step-by-step explanation:
sorry not really true just need more loints
there are 28 students in 3b, for math 18 students have an F. How many % is that?
Answer:
64.29%
Step-by-step explanation:
Natalie wants to buy 5 feet of ribbon for her scrap book supplies. The store only sells the ribbon in inches. How much ribbon does Natalie need in inches?
Answer:
She would need 60 inches or ribbon.
Step-by-step explanation:
there are 12 inches in a foot, if she needs 5 feet then you would multiply 12 and 5
12*5 = 60
Well, we know that there is 12 inches in every foot, so if you have 5 feet, you would just have to multiply 12 x 5.
The answer is 60 inches of ribbon.
how do i use what i know about adding integer to add rational numbers
Answer:
Rational number are any number that can be made into a fraction and since integers are a type of rational number you can use that to solve your math problem.
Step-by-step explanation:
(This might not be a good explanation but I hope you understand what I am trying to say here)
Hope this helps :)
Al is employed on an assembly line. He receives 35 cents for each part that he works on. If he works on more than 150 parts, his employer will pay him 40 cents for each part over 150. Yesterday, Al worked on 1,000 parts. How much did he earn?
Answer:
392.50
Step-by-step explanation:
1,000-150=850
850 x .40 = 340
150 x .35 = 52.5
340 + 52.5 = 392.50
Answer:
$268
Step-by-step explanation:
I got 100% on the quiz
Find equation of the line that passes through the point (5,-1) and is perpendicular to the line y=1/4x-2
Answer:
slope of perpendicular line = -4
passing through (5,-1)
thus,
y+1 = -4 ( x-5 )
or y = -4x + 19
Need help!!!
On this it’s all math work!
Answer: 7-8
Step-by-step explanation:
7-8 A squared + B squared =c Square
9x9 8x8 10x10 12x12
81 64 100 144
145 244
What is 3/4 divided by 1/2
2/3
1
1 1/4
1 1/2
3
PLEASE HELP!!! URGENT!!!!
Answer:
80 degrees
Step-by-step explanatibecause its congruent to a suplementary angle
Solve the inequality for n to find out how many necklaces she needs to sale to make a profit 12n>135+4.50n
Answer:
n>18
I looked it up on tiger math and I i got the answer right HOPE THIS HELPS!!!!
Write a ratio for 6 cups of flour to 2 cups of milk
Answer:
A ratio of 6:2 or 6 to 2 can be used, or students might recognize and suggest the equivalent ratio of 3:1.
Step-by-step explanation:
A ratio of 6:2 or 6 to 2 can be used, or students might recognize and suggest the equivalent ratio of 3:1.
You play a game on your phone. For every correct move you make you receive 50 points. For every second that it takes you to complete the game, you lose 3 points. You complete the game in 2 minutes 45 seconds using 35 correct moves. What is your score?
Answer:
Step-by-step explanation:
what
Based on the family the graph below belongs to, which equation could represent the graph?
Answer:
Could you show the graph?
Step-by-step explanation:
Answer:
Where is the graph, Sir,Please make clear,
If A4BC - AAVW, find the values of x and y.
A training field is formed by joining a rectangle and two semicircles, as shown below.
The rectangle is long and wide.
Find the area of the training field. Use the value for , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is
95m long and
74m wide.
Find the area of the training field. Use the value 3.14 for Pie
for
, and do not round your answer.
Step-by-step explanation:
hope it helps
47,52,57,62
what's next?
Answer:
67,72,77, etc.
Step-by-step explanation:
You just add 5 each time to your number.
Answer:
67,72,77,82,87,92,97,102,107
Step-by-step explanation:
you add 5 each number
I need help
Hdjshhsjsmanana
Answer:
hnahnahnahnahhnahnahnahnahhnahnahnahnahhnahnahnahnah
2.5 cups of water fill 4, identical water bottles. How many cups fill each bottle? (Just type the
number of the answer.)
Answer:
.625
Step-by-step explanation:
The solution to the inequality X/4 > 2 is
X=8
X<2
X>8
Xx2
Answer:
X=8 is the answer it means 4x2 =8
Answer:
it's C. number.
Step-by-step explanation:
hope it will help u
Which graph shows the solution to the system of linear inequalities? Y< 1/3x-1 y<1/3-3
1) All values that satisfy y<1/3-1 are solutions
2) All values that satisfy y<1/3-3 are solutions
3) All values that satisfy either equations are solutions
4) There are no solutions
(Edge 2020)
The solution of the system of linear inequalities is All values that satisfy y<1/3-3 are solutions. (option 2)
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given is a graph of inequalities, y < 1/3x-1 and y < 1/3-3
The solution of the inequality A is the shaded area below the solid blue line and the solution of the inequality B is the shaded area below the solid red line,
That means all the solutions of inequality B will satisfy the inequality A also.
Hence, The solution of the system of linear inequalities is All values that satisfy y<1/3-3 are solutions. (option 2)
For more references on inequality, click;
https://brainly.com/question/28823603
#SPJ5
The breakdown of the sample of a chemical compound is represented by the function p(t)=300(0.5)^t where p(t) represents the number of milligrams of the substance and t represents the time in years. IN the function p(t) explain what 0.5 and 300 represents.
Please help.
Answer:
0.5 and 300 represent the number of milligrams of the substance
Step-by-step explanation:
I need help for this question pllsssss
Answer/Step-by-step explanation:
7. ✍️First Equation:
To generate the equation of the gray, which will be in the slope-intercept form, y = mx + b, we need to find the slope of the graph, m, and the y-intercept, b.
Using two points on the line, (2, 4) and (4, 0),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 4}{4 - 2} = \frac{-4}{2} = -2 [/tex]
Substitute x = 2, y = 4 and m = -2 into y = mx + b, to find the value of b.
thus:
4 = (-2)(2) + b
4 = -4 + b
Add 4 to both sides
4 + 4 = b
b = 8
Substitute m = -2 and b = 8 into y = mx + b.
The first equation would be:
✅ y = -2x + 8
✍️Second Equation:
Using two points on the line, (1, 6) and (5, -2),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 6}{5 - 1} = \frac{-6}{4} = -\frac{3}{2} [/tex]
Substitute x = 1, y = 6 and m = -³/2 into y = mx + b, to find the value of b.
thus:
6 = (-³/2)(1) + b
6 = -³/2 + b
Add ³/2 to both sides
6 + ³/2 = b
(12 + 3)/2 = b
15/2 = b
Substitute m = -³/2 and b = 15/2 into y = mx + b.
The second equation would be:
✅ [tex] y = -\frac{3}{2}x + \frac{15}{2} [/tex]
