Avery invested $21,000 in an account paying an interest rate of 3.3% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $29,200?
Answer:
10
Step-by-step explanation:
Answer from delta math
Select the correct function. Select the function with an average rate of change of 3 over the interval [1, 3].
Answer:
Function g(x)
Step-by-step explanation:
Given
See attachment for functions
Required
Which has an average rate of 3 over [1,3]
The average rate of change (m) is calculated as:
[tex]m = \frac{f(b) - f(a)}{b -a}[/tex]
Where:
[tex][a,b] = [1,3][/tex]
So, we have:
[tex]m = \frac{f(3) - f(1)}{3 -1}[/tex]
[tex]m = \frac{f(3) - f(1)}{2}[/tex]
From the table f(x), we have:
[tex]f(3) = 6\\ f(1) = -2[/tex]
So:
[tex]m = \frac{6 - -2}{2}[/tex]
[tex]m = \frac{8}{2}[/tex]
[tex]m =4[/tex]
From the graph of g(x), we have:
[tex]g(3) = 4\\ g(1) = -2[/tex]
So:
[tex]m = \frac{g(3) - g(1)}{2}[/tex]
[tex]m = \frac{4 - -2}{2}[/tex]
[tex]m = \frac{6}{2}[/tex]
[tex]m =3[/tex]
Since only one of the function has an average rate of change of 3 over the given interval,
Then g(x) answers the question
A bag contains 12 red marbles, 10 green marbles, 2 yellow marbles, 19 blue marbles, and 9 purple marbles. What is the probability of pulling out a green marble?
Answer:
10/52 or when reduced, is 5 over 26 (5/26) and if they want it as a percent, its 19% (.19)
Answer:
5/26
Step-by-step explanation:
Need help on this one last question
Answer:
available
Step-by-step explanation:
if its available if available comment
A rectangular garden has dimensions of 100ft by 10ft next season the garden is decreased by 2/3 of its size what is the scale of the new drowning
The qyaeriin has no attached diagram. A related diagram was found and used to provide the steps required to solve the problem.
Answer:
1 inch = 8.333 feets
Step-by-step explanation:
Initial dimension of rectangle :
100 feets by 10 feets
Fractional decrease in garden = 2/3
New Dimension of garden :
2/3(100 feets) by 2/3(10 feets)
66.667 feets by 6.6667 feets
Hence
From the picture attached :
8 inch = 66.667
1 inch = 8.333
The new scale of the drawing = 1 inch = 8.333 feets
A geologist drew a scale drawing of a section of a quartz layer she saw in a cliff. The scale drawing of the layer is 4 cm high and 28 cm long. If the actual layer is 0.2 meters high, what is the area of the actual quartz layer section she saw?
Answer:
[tex]0.28\ \text{m}^2[/tex]
Step-by-step explanation:
[tex]4\ \text{cm}=0.2\ \text{m}[/tex]
[tex]1\ \text{cm}=\dfrac{0.2}{4}=0.05\ \text{m}[/tex]
[tex]28\ \text{cm}=28\times 0.05=1.4\ \text{m}[/tex]
The height of the layer is 0.2 m and the length is 1.4 m
Area is given by
[tex]0.2\times 1.4=0.28\ \text{m}^2[/tex]
Area of the actual quartz layer section is [tex]0.28\ \text{m}^2[/tex].
angle relationships. please help me. i will give you brainlist. if you are right though.
Step-by-step explanation:
12x+15+69= 180
12x = 96 X =8
x+137 + 50 = 180
x = - 7
80= 20x
x = 4
Which inequality is true when x=6? *
Answer:
10+x=16
Step-by-step explanation:
Shawna noticed that the distance from her house to the ocean which is 40 miles was one fifth the distance from her house to the mountains. Write and solve a division equation to find the distance from Shawna's house to the mountains.
Answer:
40 ÷[tex]\frac{1}{5}[/tex] =
40 x 5 = 200 miles
Step-by-step explanation:
distance from Shawna's house to the mountains = distance from her house to the ocean ÷ 1/5
40 ÷ 1/5
40 x 5 = 200 miles
A box contains 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles. 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles. Which color marble is most likely to be picked?
Answer:
A red marble
Step-by-step explanation:
First, add all of the possible combinations of marbles that can be picked from the box ( 2 + 2 + 3 + 5 = 12 ). Next, write down the amount of each marble ( 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles). Then, find the marble that appears most in the box. (red marble). Finally, not only have you found that the red marble is most likely to be picked, you also know the probability of picking a red marble, (5/12).
Answer: red
Step-by-step explanation:
Mr. Sims wants to buy a new truck. He sold his old truck for $3,582, and he has $4,979 in the bank. If a new truck costs $9,005, how much more money does he need in order buy the new truck?
Answer:
$444
Step-by-step explanation:
3,582 + 4,979 = 8,561
9,005 - 8,561 = 444
Please help!!!!!!!!!
Answer:
C , 6/15
Step-by-step explanation:
Hope it helps !!:)
A circle has a radius of 30 cm.
What is the area of the circle?
Explain or show your reasoning.
Answer: the area of the circle is 2827.43cm²
Step-by-step explanation:
Kaylee's gross income is $3,200 per month. Of this amount 25% is taken out for taxes and other required deductions. How much is her take home pay?
Answer: [tex]\$2400[/tex]
Step-by-step explanation:
Given
Kaylee's gross income is [tex]\$32,000\text{per month}[/tex]
[tex]25\%[/tex] is taken out for taxes and other required deduction
left amount is
[tex]\Rightarrow 3200-25\%\times 3200\\\Rightarrow 3200(1-0.25)=\$2400[/tex]
So, her take-home pay is [tex]\$2400[/tex]
PLEASE HELP FAST 30 POINTS PLUS BRAINLIST ONLY ANSWER IF YOU KNOW
The Golden Gate bridge was built in San Francisco, California, in 1937. Until 1964, it was the longest suspension span in the world. The length of the cable from the top of the tower to where it anchored in the concrete is 2332 m, and the height of each tower is 152 m. Assuming the cable forms a straight line, how far from the base of the tower is the cable anchored?
help ME pls
.............
Answer:
not sure how this is math
Answer:
Keep your head up king/queen
Write an expression for the nth term of the geometric sequence. Then find the indicated term. a1 = 3, r = 3 , n = 10
Answer:
[tex]A_{n} =3(3)^n^-^1[/tex]
[tex]A_{10} = 59,049[/tex]
Sam ordered 7/8 of a pound of coffee. He would like to share half of it. How many pounds of coffee will each person receive?
Answer:
Sam and his friend will each get 7/16 of a pound of coffee
Step-by-step explanation:
7/8 × 1/2 = 7/16
What the Sum of Adding the Polynomials.
What is the measure of the missing angle?
35°
105°
Answer:
Answer: 40 degrees
Step-by-step explanation:
If this is a triangle the missing angle would be 40 degrees because
35 + 105 + 40 = 180
Hope this helps!
A glass jar contains a total of 53 marbles. The jar has red, blue, and green marbles. There are 3 blue marbles, 6 green marbles, and
the rest are red. Determine which event is likely
OA. Picking a green marble
OB. Picking a blue marble
OC. Picking a red marble
OD. Picking a yellow marble
Answer:
c. picking a red marble.
Answer:
Picking a red marble. C.
Step-by-step explanation:
6.4=0.8m what does m equal
Answer:
0.8
Step-by-step explanation:
8x8=64 but put the decimal point back in 0.8x0.8=6.4
find the distance between the two points rounding to the nearest tenth (1,9) (-2,6)
Answer:
3sqrt2 is the distance between these two points
PLEASE HELP ASAP I NEED HELP ASAP. PLEASE AND TY
Answer:
5 in
Step-by-step explanation:
helppp please, i don’t know how to do this
Answer:
Line CB
Step-by-step explanation:
We know the smallest triangle is the left triangle, so you need to find the smallest angle in that triangle, which is 50 degrees as shown, and the opposite side to that, CB, is the smallest side.
Classify the triangles shown below as "scalene," "isosceles," or "equilateral." Sides that are the same length are marked with a slash. Write the letter of each triangle and the category or categories in which it belongs. If a triangle fits more than one classification, write all categories that apply.
A sofa is on sale for $481, which is 65% of the regular price.
What is the regular price?
Answer:
I think $ 649.35 cents
Step-by-step explanation:
65% off means the sale price is 35% of the regular price.
35% of something is 0.35 times the something.
The circumference of a circular pool is 43.96 meters. What is the area in square meters? Use 3.14 for pi.
A. 153.86
B.145.30
C.138.03
D.47.10
Answer:
The answer is letter A
Step-by-step explanation:
Area of a circle in terms of radius:
A circle of radius = 6.996 or 7, or diameter = 13.99 or circumference = 43.96 meters
Area = π · r^2 = 3.14 * 7^2 = 153.86 square meters
ASAP someone please answer whether these numbers are irrational or rational and explain.
Answer:
are you lonly
Step-by-step explanation:
Answer:
vvv ahah hopefully it helps
Step-by-step explanation:
11. pi is irrational number since you can't write it down as a non-infinite decimal
12. .5 is rational since its a terminating decimal
13. .3 repeating is rational b/c it's represented as a ratio of two integers
Three students wrote a relationship between decimal, fraction, and percent's. Which of the students wrote an equivalent relationship? Lori wrote: 75% = 3/5 Talisha wrote: 0.05 = 50% Shannon wrote: 3/8 = 0.375
Answer:tyeydStep-by-step dh:
ghe