Answer: F(t)=1500
Step-by-step explanation:
hope this helps
The initial value of the investment in the given function is 1500.
What is compound interest?Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.,
[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]
where A is the final amount
P is the principal amount
r is the rate of interest
n is the number of times interest is charged in a year
t is the number of years
Given that the future value, [tex]F(t) = 1,500(1.045)^t,[/tex] of an investment after t years is given by the function defined above. Therefore, the initial value of the investment in the given function is 1500.
Learn more about Compound Interest:
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Find the amplitude of y = 3 sin x.
2π
3
3π
pi divided by three
Answer:
Amplitude = 3
Step-by-step explanation:
The given function is : y = 3sinx
We need to find the amplitude of the given function.
The distance between the center line of the function and the top or bottom of the function is called its amplitude.
In this given function, the amplitude of 3. Hence, the correct option is (b).
Select the correct answer from each drop-down menu.
Points A, B, and C form a triangle. Complete the statements to prove that the sum of the interior angles of ΔABC is 180°.
Statement Reason
Points A, B, and C form a triangle. given
Let be a line passing through B and parallel to . definition of parallel lines
∠3 ≅ ∠5 and ∠1 ≅ ∠4
m∠1 = m∠4 and m∠3 = m∠5
m∠4 + m∠2 + m∠5 = 180° angle addition and definition of a straight line
m∠1 + m∠2 + m∠3 = 180° substitution
Answer:
Alternate interior angle theorem
Step-by-step explanation:
Answer:
For the second drop down menu I put third option.
Step-by-step explanation:
Helpppppp ASAP!!!!!!!
Answer:
x=2
Step-by-step explanation:
Kenji baked 1 brownie with nuts on top and 14 brownies without nuts. What is the ratio of the number of brownies with nuts on top to the number of brownies without nuts?
Answer:
1:14
Step-by-step explanation:
1 with nuts
14 without nuts
The ration has to be: w:wo
So 1:14
HOPE THIS HELPS!!!
Answer:
1:14
Step-by-step explanation:
The new number, 550, is 200 more than the original number. What is the approximate percent change?
The percent change is approximately 33%.
The percent change is approximately 55%.
The percent change is approximately 150%.
The percent change is approximately 175%.
Answer: I believe the answer is b. 55%
Step-by-step explanation:
200/ (550-200) * 100
Answer:
Ps the answer IS 55%
Step-by-step explanation:
Just took quiz on edg 2020
Which table of values will generate this graph?
On a coordinate plane, points are at (negative 2, 0), (0, 1), (0, negative 4), and (3, 0).
Answer:
i need help with this to
Step-by-step explanation:
the table of values will be values of x and y respectively.
x= -2,0,0,and 3
y= 0,1,-4 and 0.
Which of the following properly describe “slope"? Select all that apply. V2yi x2-X X-34 1291 run / rise rise / run ratio of the change in y-values (rise) for a segment of the graph to the corresponding change in x-values (run)
Answer:
A, D, E
Step-by-step explanation:
I did the assignment and it was correct!
Answer:
a d e
Step-by-step explanation:
give the other person brainliest :)
Which is the quotient and remainder, written as partial fractions, of 2x^3-x^2+x+5/x^2+3x+2
it's C
Answer: thank yuu
Step-by-step explanation:
what is the answer to 1+1
Answer:
the answer to 1+1 is 2
:) lol
Answer:
2
Step-by-step explanation:
The triangular arrangement of numbers shown is known as Pascal's triangle. Use inductive reasoning to find the 6 missing numbers.
Answer:
1 5 10 10 5 1
Step-by-step explanation:
The complete question has been attached as an image.
Looking at the triangle, we see a pattern. The first level we have 1, in the next level we have 1 1, the next evel we have 1 2 1, the next level we have 1 3 3 1 and so on. From here, we see that to get the numbers of the next level, we have to write 1 as the first number, then add 1 to the next number after it in the previous level to get the second number in the next level then add the second number of the previous level to the next number beside it to get the third number in the next level and so on until you get to the last number before 1 in the previous level, add that number to 1 to get the second to the last number in the next level and finally put 1 as the last number in the next level. Now, we have
1 4 6 4 1
1 5 10 10 5 1
And that is the required set of numbers.
Find the measure of the missing angle
If the measure of angle 2 = 7x + 7 and the measure of angle 4 = 5x + 27, find the following
ONLY type in the number
Answer:
x = 10
m angle 2 = 77
m angle 4 = 77
m angle 5 = 103
Step-by-step explanation:
you can equate angle 2 to angle 4, solve for x. then plug in the x value. a angle 2 and 4 will both be 77. angle 5 will be 180-77since angle 2 and 6 are congruent, and angle 6 forms a straight line with angle 5.
1/2(x+18)=4(2x-6)-9x
Answer:
X=-22
Step-by-step explanation:
1/2(x+18)=4(2x-6)-9x
1/2(x+18)=4(2x)-4(6)-9x
1/2(x+18)=8x-24-9x
1/2(x+18)=-x-24
2*1/2(x+18)=2(-x-24)
x+18 = -2x-48
x+2x+18 = -2x+2x-48
3x+18 = -48
3x+18-18 = -48-18
3x = -66
3x/3 = -66/3
x = -22
What is the equation of the line that passes through the point (4,−2) and has a slope of
−2?
Point-slope form:
y
−
2
=
−
3
x
+
12
Slope-intercept form:
y
=
−
3
x
+
14
Explanation:
First write a point-slope equation
y
−
y
1
=
m
(
x
−
x
1
)
, where
(
x
1
,
y
1
)
is the given point,
(
4
,
2
)
, and
m
is the slope,
−
3
.
y
−
2
=
−
3
(
x
−
4
)
y
−
2
=
−
3
x
+
12
For graphing, you can convert to the slope-intercept form,
y
=
m
x
+
b
, by solving for
y
, where
m
is the slope and
b
is the y-intercept.
Add
2
to both sides.
y
=
−
3
x
+
12
+
2
y
=
−
3
x
+
14
m
=
−
3
and
b
=
14
graph{y=-3x+14 [-10.72, 9.29, 7.66, 17.66]}
Xochitl has saved $201.60. Yamka has saved 1.5 times the amount Xochitl saved. Zack has saved 2/3 the amount Yamka saved. How much have they saved all together?
Answer:$758.53Step-by-step explanation:Xochintl has $201.60 and Yamka has 1.5 times of that which is $302.40 which equals 504.00 total and Zack has 2/3 times as Yamka which is $254.93:all together is 758.93 hope this helps
Ali spent $42 on fruit at the grocery store. He spent a total of $60 at the store. What percentage of the total did he spend on fruit
Which equation BEST demonstrates the associative property of multiplication?
(5 + 6) x 7 = 7 x (6 + 5)
(5 x 6) x 7 = 5 x (6 x 7)
5 x 7 = 5 x 7
5 x 7 = 7 x 5
Answer:
c
Step-by-step explanation:
Multiply.
8.12⋅30.3
no answers are telling me and I'm stuck
Answer:
8,640
Step-by-step explanation:
Answer:
8X12X30X3 well we have to follow the order of operations. first 8X12=96
98X30=2880 2880x3=8640
Step-by-step explanation:
Explain! Which one is correct?
Answer:
C) $5/1 ticket
Step-by-step explanation:
$80 for 16 tickets is $5 for 1 ticket. We can find this by just simply dividing 80/16 together to get 5.
Which of the following expressions is equal to -3x2 - 12?
Answer:
C. (-3x+6)(x+2)
Step-by-step explanation:
that should help you
A town has two sneaker factories, Sneakerheadz and Nukicks. While Nukicks was closed on Sunday, Sneakerheadz made 900 pairs of shoes. On Monday, both Sneakerheadz and Nukicks made shoes for the same amount of time. Sneakerheadz made sneakers at a rate of 300 sneakers per hour and Nukicks at a rate of 480 sneakers per hour. Nukicks made the same number of pairs of shoes on Monday as Sneakerheadz did on both days.
Write and solve an equation in one variable to find out how many hours the Sneaker factories operated on Monday
Show work
Answer:
3.33 hoursStep-by-step explanation:
let the number of hours be x
let the total snickers made be y
for the factory Sneakerheadz
they have 900 pairs on Monday, hence the total sneakers made is
y=600+300x---------1
for the factory Nukicks
they only make sneakers at the rate of 480 per hour
y=480x--------------2
since they both have made the same amount of sneakers, we are going to equate 1 and 2to find x
600+300x=480x
300x-480x=-600
-180x=-600
180x=600
x=600/180
x=3.33hours
The Sneaker factories operated on Monday for 3.33 hours
The school athletic director had a budget of $703.55 to purchase 55 items for the volleyball team. He purchased uniforms for $18.50 each, volleyballs for $12.99 each, and knee pads for $9.75 per pair. He purchased six more balls than uniforms. Define the variables and write a system of equations to represent the situation.
Answer:
Variables are x, y, z
System of equations are;
2x + z = 49
31.49x + 9.75z = 625.61
Step-by-step explanation:
Let x represent uniforms, y represent volleyball, z represent a pair of knee pads.
We are told he bought 6 more balls than uniforms. Thus; y = x + 6
Since he is buying 55 items, thus equation that represents total number of items bought is;
x + y + z = 55
Since y = x + 6, then;
x + x + 6 + z = 55
2x + z = 49
We are told he purchased uniforms for $18.5 each, volleyball for $12.99 dollar each, knee pads for $9.75 dollar for each pair
Since he has a budget of $703.55.
Thus, equation that represents budget and amount for each item is;
18.5x + 12.99(x + 6) + 9.75z = 703.55
18.5x + 12.99x + 77.94 + 9.75z = 703.55
31.49x + 9.75z = 703.55 - 77.94
31.49x + 9.75z = 625.61
Samantha has 4 1/2 gallons of lemonade for her daughter’s birthday party. Each gallon of lemonade contains 1.5 grams of fat. How many grams of fat are contained in all the lemonade Samantha has for the party?
Answer: 6.75
Step-by-step explanation:
1/2 gallons = 0.75 grams
1 gallons = 1.5 grams
2 gallons = 3 grams
4 gallons = 6 grams
6 + 0.75 = 6.75
I hope this helped!
how many times can 130 go into 22? DIVIDE
130 cannot go into 22.
22 can go into 130 5 times
130 can not go into 22 idk if u meant 22 into 130
What is the coefficient in the expression 10x+8
Answer:
In the given expression, 10x + 8, the numerical coefficient is 10 and the literal coefficient is x. The number 8 is not considered as a coefficient since the value is a constant.
Answer: 10 + 8
Step-by-step explanation: If you want to find a coefficient you need to only remove the variable from the expression. For example what is the coefficient of 4x its 4. Please mark as the brainliest!
Select the correct answer.
What is 75 equal to?
O A.
7 x 5
O B.
5 x 5 x 5 x 5 x 5 x 5 x 5
OC.
7x7x7x7x7
OD. 57
pls help <3 thank you sm ;)
-12x + 4y =16 convert from standard form to general
Subtract 16 from both sides
you get -28x=4 divide by 4
then y=7
problem solved
At a local grocery store, bananas were on sale. Green bananas were priced at $14.00 and yellow bananas were priced at $12.00. Sabrina bought 9 bananas and spent a total of $114.00. How many yellow bananas did she purchase?
Answer:
Sabrina bought 6 yellow bananas and 3 green bananas
Step-by-step explanation:
Let
Green bananas = x
Yellow bananas = y
Green bananas = $14.00
Yellow bananas = $12.00
Total cost = $114.00
x + y = 9 (1)
14x + 12y = 114 (2)
From (1)
x = 9 - y
Substitute x = 9 - y into (2)
14(9 - y) + 12y = 114
126 - 14y + 12y = 114
- 14y + 12y = 114 - 126
-2y = -12
Divide both sides by -2
y = -12 / -2
= 6
y = 6
Substitute y = 6 into (1)
x + y = 9
x + 6 = 9
x = 9 - 6
= 3
x = 3
Sabrina bought 6 yellow bananas and 3 green bananas
What number should be added to
21 to get a sum of
10?
Answer:
-11
Step-by-step explanation:
I hope this helps. Have a good day!
Answer:
-11
Step-by-step explanation:
21+(-11)=10
