Answer:
how much money is he saving????
Step-by-step explanation:
suppose you deposit $1000 in a savings account that pays 4.8% interest compounded monthly. Write an exponential function to model the amount of money in your savings account. How much will you have in your account after 2 years?
Answer:
The exponential function is [tex]A(t) = 1000(1.004)^{12t}[/tex].
You will have $1,100.55 in the account after 2 years.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Deposit $1000 in a savings account that pays 4.8% interest compounded monthly.
This means that [tex]P = 1000, r = 0.048, n = 12[/tex]. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 1000(1 + \frac{0.048}{12})^{12t}[/tex]
[tex]A(t) = 1000(1 + 0.004)^{12t}[/tex]
[tex]A(t) = 1000(1.004)^{12t}[/tex]
This is the exponential function
How much will you have in your account after 2 years?
This is A(2). So
[tex]A(2) = 1000(1.004)^{24} = 1100.55[/tex]
You will have $1,100.55 in the account after 2 years.
Fire works are fired vertically upwards from a platform 10 feet above the ground and with an initial velocity of 96 feet per second what is the highest possible point for the fireworks to explode
Answer:
Here is the answer
Step-by-step explanation:
The highest possible point for the fireworks to explode is to be considered as the 154 feet.
Calculation of the highest possible point:Since the equation is
[tex]h = -16t^2 + 96t 10[/tex]
Now based on this, we have to determine the axis of symmetry
So,
[tex]t = -b \div 2a\\\\= -96 \div 32[/tex]
= 3
Now
[tex]= -16(3)^2 + 96(3) + 10[/tex]
= 154 feet
hence, The highest possible point for the fireworks to explode is to be considered as the 154 feet.
Learn more about point here: https://brainly.com/question/21847494
20.) Using the cross multiplication method, which of the following is the solution to 18/6x = 4/(x+3)?
a)9
b)-9
c)12
d)-12
Answer:
B. 9
Step-by-step explanation:
how many millimeters are in 7 liters
7 liter = 7000000 cubic millimeters
Which number is between 0.4 and 0.5?
A 0.04
(В
0.44
0.05
0.50
Do you like penguins? btw does 1-5=3
Answer:
I like looking and drawing a penguins
Step-by-step explanation:
And no 1-5 is not 3, it is -4
Simplify 9р – 2р +р
Answer:
8P
Step-by-step explanation:
Answer:
8p
Step-by-step explanation:
9р – 2р +р
7p+p
8p
Find the surface area of the cylinder: Use 3.14 for
2 cm
15 cm
A. 100.48 cm
B. 97,43 cm
C. 36.28 cm
D. 33.14 cm
2 of 4 Answered
Answer:
Well on my end i got 47.12, with pi included
Step-by-step explanation:
The surface area of the cylinder with the diameter 2cm and height 15cm is [tex]100.48 \; cm^2[/tex]
Calculation to find Surface area of cylinder:
Given the diameter of the cylinder is 2cm and height 15cm
Formula :
The surface area of the cylinder =[tex]2\pi r^2+2\pi rh[/tex]
where 'r' is the radius and 'h' is the height of the cylinder
Diameter = 2cm
[tex]radius =\frac{diameter }{2} =\frac{2}{2} =1[/tex]
radius = 1cm and height is 15 cm
the value of pi is 3.14
Substiute all the values
[tex]SA = 2\pi r^2+2\pi rh\\SA=2(3.14)(1)^2+2(3.14)(1)(15)\\SA=6.28+94.2\\SA=100.48 cm^2[/tex]
The surface area of the cylinder with the diameter 2cm and height 15cm is [tex]100.48 \; cm^2[/tex]
Learn more information about 'Surface area of cylinder' here
brainly.com/question/76387
What is the slope of this graph? I WILL GIVE BRAINLIEST PLSSSS 100 points 3,2 1,4
Step-by-step explanation:
Slope = -5/5 = -1
Answer:
m=-1
Step-by-step explanation:
Slope is equal to the change in
y, over the change in x, (or rise over run)
pick any two points on the line to apply to this formula.
m= 3-(2) / 2-(3)
m=-1
What is 30% of 50 pounds?
Answer:
15 pounds
Step-by-step explanation:
hope that help
Write the missing decimal so that each pair adds to 1/2 + ...= 1
Answer:
0.5
Step-by-step explanation:
1/2 + 0.5 = 1
What is the range of y=the squareroot of x+7+5
The range of the function is the set of all positive real numbers, or y > 0.
What is the range of a function?The range of a function is the set of all possible values that the function can output.
The function is given in the question as:
y = √(x+7+5)
In the case of the function y = √x + 7 + 5, the range is the set of all possible values of y that can be obtained by substituting different values of x into the function.
To find the range of this function, we need to consider the values of x that can be used in the function. The square root of a number must be non-negative, so x must be greater than or equal to 0.
In other words, the domain of the function is x ≥ 0.
We can now substitute different values of x into the function to find the range.
For example, if x = 0, then y = √0 + 7 + 5 = 7 + 5 = 12. If x = 1, then y = √1 + 7 + 5 = 8 + 5 = 13. And so on.
We can see that as we increase the value of x, the value of y also increases. This means that the range of the function is the set of all positive real numbers, or y > 0.
Therefore, the range of y = √x + 7 + 5 is y > 0.
Learn more about the domain and the range here:
brainly.com/question/21027387
#SPJ2
Answer: b - edge
Step-by-step explanation:
X+y = -15 in y = mx+b form
Answer:
y=-15x+b
Step-by-step explanation:
Just move it around and use a calucator
What is 5.23 divided by 9
Answer:
[tex]\frac{5.23}{9} = 0.581111[/tex]
Step-by-step explanation:
5.23 / 9 = 0.5811111
Does anyone knows this please
First question:
-2x x 5x
Second question:
(8x)^2
Please
.
Answer:
1) [tex]-10x^2[/tex]
2) [tex]64x^2[/tex]
Step-by-step explanation:
First question:
-2x . 5x = [tex]-10x^2[/tex]
Second question:
[tex](8x)^2=8x.8x= 64x^2[/tex]
Determine the AMPLITUDE and the MIDLINE of the sine function below.*
1 poin
y = – 3sin(2x) - 5
a. Amplitude = -3, Midline = -5
b. Amplitude = 3, Midline 5
c. Amplitude = 3, Midline - 5
d. Amplitude = 2, Midline = – 3
O a.
Step-by-step explanation:
Amplitude of the sine function is 1.
So if its multiplied by -3, its amplitude is 3 (its always positive).
The midline of sin x is 0.
The midline of sin 2x is also 0.
The midline of -3*sin 2x is also 0.
So if you subtract this function by 5, then the new midline is -5.
caroline can sketch 5 cartoon strips in two hours. How long will it take her to sketch 20 strips
Answer:
8 hours
Step-by-step explanation:
20÷5 = 4
4×2 = 8
Hope this Helps!
:)
There are 204 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 42 fans?
Answer:
there will be 5 busses or 4.8 needed
There are 38 students in Mr. Reynolds math class and 20 are boys.If a student is selected at random what is the probability that a girl is selected?Give the answer as a fraction in simplest form.
Answer:
9/19
Step-by-step explanation:
if 20 students are boys, then the remaining students are girls. 38-20 = 18
There are 18 girl students.
18/38 can be simplified to 9/19
Answer:
9/20
Step-by-step explanation:
Evaluate the following expression.
2⁵ + (10 - 7)⁴ + 6
Answer:
the answer is 119 hope this helps
Step-by-step explanation:
Answer:
119
Step-by-step explanation:
2 to the power of 5 is 32 and 10 - 7 = 3 and 3 to the power of 4 is 81 and 81 + 32 is 113 and 113 + 6 = 119
I need help with this geometry question
Answer:
24
Step-by-step explanation:
Which equation can be used to find the volume of the cylinder?
A cylinder with a radius of 6 centimeters and a height of 8 centimeters.
V = pi (6) squared (8)
V = pi (12) squared (8)
V = pi (8) squared (6)
V = pi (8) squared (8)
Answer:
I think it's A. V = pi (6) squared (8)
(I'm so sorry if it's wrong)
Hope this Helps!
Derrick brought 24 cupcakes to a birthday party. The guests at the party ate 2/3 of the cupcakes. How many cupcakes did the guests eat?
Question 3: Add 9 to 5 times n to get 3 is reprented as
Answer:
5n + 9 = 3
I hope im right!!
Complete the table for y=1/5x+1 and graph the resulting line
Answer:
x=-5 y=0
x=0 y=1
x=5 y=2
x=10 y=3
Simplify each of the fractions. If there is no answer, enter "undefined."
C. 16/0
a2(5x – 3) = 24
b) 5(2x + 1) = 50
Answer:
A= x=3
B= x=9/2
Step-by-step explanation:
The perimeter of a rectangular carpet is 94 yards. Its width is 19 yards.
How long is the carpet?
label required
Answer:
28 yards
Step-by-step explanation:
Perimeter=2(L)+2(W)
94=2(L)+2(19)
94=2(L)+38
-38 -38
56=2(L)
÷2 ÷2
28=L
Customers left Jill $2.50 as a tip. The tip was 20% of the total. How much was the bill?
Answer:
$12.50
Step-by-step explanation:
Answer:
The bill was $12.50
Step-by-step explanation:
Brainliest please... nvm
A salt mixture has 8 parts water and 2 parts salt. Suppose one part of each is added. What is the new ratio of salt to
water?
O 2 to 9
O 3 to 8
03 to 9
O. 9 to 3
Answer:
3 to 9 I guess...................