Answer:
b: $672
Step-by-step explanation:
The appropriate formula for use here is the Compound Amount formula:
A = P(1 + r)^n, where r is the annual interest rate as a decimal fraction, P is the principal (up front amount invested), and t is time measured in years.
Here we have A = ($600)(1 + 0.0385)^3, or:
A = ($600)(1.0385)^3
A = $672 (matches answer b)
Libby takes a test that has a total possible score of 800. Each question is worth the same
number of points. If she misses 3% of the questions, what is her score?
Answer:
Step-by-step explanation:
800(1-3/100)
800(100-3)/100
800(97)/100
77600/100
776 is her score.
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 4x + 1 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (2, 5). Function 2 has the larger maximum at (3, 2).
Answer:
wait can we have the graph
Step-by-step explanation:
Answer:
Function 2 has the larger maximum at (2, 5).
Step-by-step explanation:
4/11 divided by 1/7
Answer:
28/11
Step-by-step explanation:
4x7=28
1x11=11
so and: 28/11
hope this helps
Circles C and D overlap. The distance from point C to point D is 7 centimeters. What is the sum of the areas of circle C and circle D? 7Pi units squared 14Pi units squared 49Pi units squared 98Pi units squared
Answer:
98π cm²
Step-by-step explanation:
A circle is a plane figure. A circle is the locus of a point such that its distance from a given point is always constant.
We can see that both circle C and circle D are equal with a radius of 7 cm.
Area of circle C = π* radius² = π * 7² = 49π cm²
Area of circle D = π* radius² = π * 7² = 49π cm²
The sum of the areas of circle C and circle D = Area of circle C + Area of circle D = 49π + 49π = 98π cm²
Answer:
c
Step-by-step explanation:
1) Carl had nine gallons of gasoline in his motorbike. After driving 115 miles, he has three gallons
left. What is Jamie's rate of change in miles per gallon?
Answer:
asc
Step-by-step explanation:
the perimeter of a rectangle is 32 feet. the length is 3x the width. what is the length? what is the width.
Answer:
The length is 8
The width is 8
Answer:
Step-by-step explanation:
this is about algebra, and my calculus prof. says that all people struggle with algebra, so work on it :D
P = 32 ( the total )
use the formula
P = 2L + 2W
but we are told that L =3W also sooo put that into L
P = 2(3W ) + 2w
32 = 6W + 2W
32 = 8W
4 = W
so width is 4
and length is 12
:)
PLEASE HELP ASAP!! WILL MARK BRAINLIEST
Match the points on
the number line with the rational numbers they represent.
A
B
C
D
E
1.3
-1.7
1.7
-0.8
-0.2
Answer:
A: 1.7
B: 1.3
C: -0.2
D: -0.8
E: -1.7
Step-by-step explanation:
Please help!!!!!
Billy and Susie were saving up to buy the new Xbox. Billy got $50 for his birthday and saved $20 each week. Susie already had $25 and saved $40 each week. Write a system of equations to describe this situation.
Answer:
50+ 20x= y
25+ 40x= y
Explanation:
For Billy and Susie, the starting values are $50 and $25. You simply add that to the money saved per week ($20 and $40).
x= number of weeks
For the two right triangles above, explain why a/8=x/12 . What trigonometric ratio is also equal to the two given ratios?
Answer:
sin trigonometry ratio
Step-by-step explanation:
Given
See attachment for triangles
Required
Explain why [tex]\frac{a}{8} = \frac{x}{12}[/tex]
From the attached diagram, both triangles are similar triangles because
(1) the second triangle is a dilation of the first triangle by a ratio of 1.5
i.e
[tex]k = \frac{12}{8}[/tex]
[tex]k = 1.5[/tex]
(2) They have angle 30 degrees, and have their right angles located at the same point
In the first triangle, the sine of 30 degrees is represented as:
[tex]sin(30) = \frac{Opp}{Hyp}[/tex]
This gives:
[tex]sin(30) = \frac{a}{8}[/tex]
In the second triangle:
[tex]sin(30) = \frac{Opp}{Hyp}[/tex]
So:
[tex]sin(30) = \frac{x}{12}[/tex]
By comparison:
[tex]sin(30) = sin(3)[/tex]
Hence:
[tex]\frac{a}{8} = \frac{x}{12}[/tex]
if f(1)= 4 and f(n) = -3f(n-1) then find the value of f(6)
Answer:
-972
Step-by-step explanation:
if f(1)= 4 and f(n) = -3f(n-1) then find the value of f(6)
If f(1)= 4
f(2) = -3f(2-1)
f(2) = -3f(1)
f(2) = -3(4)
f(2) = -12
f(3) = -3f(3-1)
f(3) = -3f(2)
f(3) = -3(-12)
f(3) = 36
f(4) = -3f(4-1)
f(4) = -3f(3)
f(4) = -3(36)
f(4) = -108
f(5) = -3f(5-1)
f(5) = -3f(4)
f(5) = -3(-108)
f(5) = 324
f(6) = -3f(6-1)
f(6) = -3f(5)
f(6) = -3(324)
f(6) = -972
hence the sixth term of the sequence is -972
What is the magnitude of the change of Stock A?
Answer:
Step-by-step explanation:
D. 4.15
the equations in the triangle consist of (2x +1) and (5x +5)
Please help me this is my final question for the quarter deciding my report card grade
Answer:
$300.00
Step-by-step explanation:
Jesse bought a car for $25,000. The car
depreciates approximately 10% of its value
each year. What will the car be worth in 5
years?
Answer:
Approximately $14,760 to the nearest 10 dollars.
Step-by-step explanation:
After each year passes the car is worth 100-10 = 90% of the previous year.
So the equation is
A = 25000(0.90)^t where A is the value of the car and t = the time in years.
So in 5 years:
A = 25000(0.90)^5
= 14762.25
In AMNP, what is sin M?
12
P
M
5
13
N
Answer:
A
Step-by-step explanation:
triangle ez ez and yes i am smart big brain
The area of a semicircle is 0.2512 square inches. What is the semicircle's radius?
Answer:
0.28277
I got this by plugging in 0.2512 for "A" ( A = π r² ) Then I solved the rest ( divide both sides by pie, then taking the square root from that.
Step-by-step explanation:
Cos Milky Said it.
David invested $89,000 in an account paying an interest rate of 3.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 15 years?
Answer:
140,690
Step-by-step explanation:
89000*1.031^15=140692.188712
= 140,690
After 15 years, $141,689 would be the amount in the account.
What is continuous compound interest?Interest that compounded continuously to the principal amount. This interest rate provides exponential growth to a period of time.
Formula of continuous compound interest rate;
A = P[tex]e^{rt}[/tex],
where P is the principal amount, r is the interest rate and t is the time period.
Given:
David invested $89,000 in an account paying an interest rate of 3.1% compounded continuously.
Assuming no deposits or withdrawals are made.
P (principal) = $89,000.00
First, convert R as a percent to r as a decimal
r = R/100
r = 3.1/100
r = 0.031 rate per year,
Then solve the equation for A
A = P[tex]e^{rt}[/tex]
A = 89,000.00(2.71828[tex])^{(0.031)(15)}[/tex]
A = $141,689
Therefore, the amount is $141,689.
To learn more about the continuous compound interest;
https://brainly.com/question/18722165
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Sandi buys some fabric to make a quilt. She needs 1/5 yard of each type of fabric. She has 9 different types of fabrics to make her design. sandi writes the following equation. (Answer: 9)
Answer:
1/5*9
Step-by-step explanation:
if sandi has 9 different types of fabric she would multiply each amount of equal fabric to get the answer so it would be 1/5*9
Which equation describes a line with
y-intercept (0,5) that passes through
the point (2, 1)?
Answer:
Step-by-step explanation:
Stuck on these, help?
Hi there! Your answers are listed below in the explanation.
Please see an explanation for a clear understanding to your problem.
Any questions about my answer and explanation can be asked through comments! :)
Step-by-step explanation:
[tex] \large \boxed{ {a}^{2} + {b}^{2} = {c}^{2} }[/tex]
First, find the missing value of hypotenuse by using Pythagorean Theorem which is in the box.
Given where a and b can be either adjacent or opposite and c-term is hypotenuse.
[tex] \large{ {8}^{2} + {15}^{2} = {c}^{2} } \\ 64 +225 = {c}^{2} \\ 289 = {c}^{2} \\ 17 = c[/tex]
Therefore, the hypotenuse is 17. Next, we are going to find a trigonometric ratio.
[tex] \large \boxed{ \mathsf{sin = \frac{opposite}{hypotenuse}}} \\ \large \boxed{ \mathsf{cos = \frac{adjacent}{hypotenuse}}} \\ \large \boxed{ \mathsf{tan = \frac{opposite}{adjacent}}}[/tex]
sin A means that A is our angle. Therefore, we focus on angle A for our calculation. Adjacent for sin A, cos A and tan A are 15. Opposite is 8 and Hypotenuse is 17.
Therefore,
[tex] \large{ \mathsf{sinA = \frac{8}{17}} } \\ \large{ \mathsf{cosA = \frac{15}{17}} } \\ \large{ \mathsf{tanA = \frac{8}{15}} }[/tex]
Next is sinB, cosB and tanB. That means we focus on angle B. Therefore, our adjacent for this would be 8. Opposite would be 15 and hypotenuse is the same which is 17.
[tex] \large{ \mathsf{sinB = \frac{15}{17}}} \\ \large{ \mathsf{cosB = \frac{8}{17}}} \\ \large{ \mathsf{tanB = \frac{15}{8}}}[/tex]
Plsssssss help i need an answer look in the pic below
Answer:
A. 120 cm²Step-by-step explanation:
10 cm x 12 cm = 120 cm²
how do you find the product of (3x+4)^2
each number and variable inside the parentheses has an exponent, in this case all of them are 1.
3^2 * x^2 + 4^2
9*x^2+16
final answer:
25x^2A family decided to add a garage onto the side of their house as shown in the picture below. Let x represent the increase in feet of the garage length. The total area can be represented by the expression 20(x + 45). Write the expanded form of this expression to represent the total area of the house and the garage.
Answer:
75
Step-by-step explanation:
87+79=75
A farmhouse shelters 15 animals. Some are goats and some are ducks. Altogether there are 42 legs. How many of each animal are there? Use the variable g to represent goats Use the variable d to represent ducks
Part A: Create a system of equations that can model this scenario.
Part B: Solve the system of equations Algebraically
Answer:g+d=152
g+2d=30
4g+2d=42
4g+2d-(2g+2d)=42-30
4g+2d-2g-2d =12 2g. =12
g=6
d+6=15
d=15-6
d=9
6 goats and 9 ducks
The number of animals are 6 goats and 9 ducks.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that;
Number of farmhouse shelters=15
Total number of legs=42
Now,
Part A:
Let's use g to represent the number of goats and d to represent the number of ducks in the farmhouse.
We know that there are 15 animals in total, so:
g + d = 15
We also know that goats have 4 legs and ducks have 2 legs, and there are a total of 42 legs:
4g + 2d = 42
Part B:
We can solve this system of equations algebraically by using substitution or elimination.
Substitution Method:
Solve for one variable in terms of the other in one equation, and substitute into the other equation.
Solve for the remaining variable.
From the first equation, we know that:
g = 15 - d
Substitute g = 15 - d into the second equation:
4g + 2d = 42
4(15 - d) + 2d = 42
60 - 4d + 2d = 42
-2d = -18
d = 9
So there are 9 ducks in the farmhouse.
To find the number of goats, substitute d = 9 into g = 15 - d:
g = 15 - 9
g = 6
Therefore, by the unitary method the answer will be 6 goats and 9 ducks
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
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If you are given a quadratic equation explain how you would know whether or not the roots are imaginary
Answer:
depends what u get in the roots whether the number is [tex]\sqrt{9} or \sqrt{-9}[/tex]
if it is square root -9 its gonna be 3i compared to just 3
For the given cost function C ( x ) = 19600 + 500 x + x 2 , First, find the average cost function. Use it to find: a) The production level that will minimize the average cost
Answer:
The answer is "140".
Step-by-step explanation:
Calculating the average cost:
[tex]= \frac{C(x)}{x}\\\\ = \frac{19600+500x+x^2}{x} \\\\ = \frac{19600}{x}+500 +x\\\\[/tex]
To minimize average cost we have to find x for wich A'(x)=0
[tex]A(x) = \frac{19600}{x}+500 +x \\\\A'(x) = -\frac{19600}{x^2}+1 \\\\0= -\frac{19600}{x^2}+1 \\\\\frac{19600}{x^2}=1 \\\\19600=x^2 \\\\x=140[/tex]
1-4: Triangle Similarity (AA, SSS, SAS, or not similar)
5-10: 45-45-90 and 30-60-90 right triangles
really need help
pls and ty :)
Answer:
1) SAS
2) not similar (not enough info to prove)
3) SAS
4) SSS
5) v = 8, u = 8
6) x = 8√3, y = 8
7) x = 8, y = 4√2
8) x = 10√2, y = 10
9) x = 3√2, y = 3√2
10) m = 6√3, n = 3√3
Step-by-step explanation:
Please Help!!!!! A man has 10 more dimes than quarters. he has $2.75 how many of each coin does he have?
Answer:
im mexican white black indian hawaiin so yeeeee ️Step-by-step explanation:
PLEASE HURRRY!!!!!!!!!!!!!
22+2y
hope it helps you ❣❣Mark me as brainliest
Answer: 11 + (2 + Y) type that in and submit
To be labeled as a jumbo egg, the egg is supposed to weigh 2.5 oz. Jandeliz buys a carton of jumbo eggs and measures one of the eggs as 2.4 oz. What is the MEASUREMENT error?
1, 0.96
2. 0.1
3. 0.042
4. 0.04
Answer: 0.04
Step-by-step explanation:
The measurement error is calculated as:
= Error / Ideal value
= (2.5 - 2.4) / 2.5
= 0.1/2.5
= 0.04
Therefore, the correct option is D.