Given:
Principal = $2900
Rate of interest = 3.25% compounded annually.
Time = 9 years.
To find:
The amount of investment after 9 years.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right){nt}[/tex]
Where, P is principal, r is rate of interest, n number of times interest compounded in an year and t is the number of years.
Substitute P=2900, r=0.0325, n=1 and t=9.
[tex]A=2900\left(1+\dfrac{0.0325}{1}\right)^{1\times 9}[/tex]
[tex]A=2900\left(1+0.0325\right)^{9}[/tex]
[tex]A=2900\left(1.0325\right)^{9}[/tex]
Using calculator, we get
[tex]A=3867.306[/tex]
[tex]A\approx 3867[/tex]
Therefore, the worth of the investment after 9 years will be $3867.
Branliest to correct answer no guessing explain how you solved it
Answer:
5,040 play list arrangements. its very complexe and will hurt to type srry
Step-by-step explanation:
Help answer this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D move 6 units to the left and land on -9
Step-by-step explanation:
The dolphin dove down meaning that it went 6 feet below sea level. that would mean -6. If you move 6 spaces to the left, you would land on -9. Hope this helps
Answer:
D. on the number line, move 6 units to the left. End at -9, the Dolphin was 9 feet below sea level
What is the slope of the line perpendicular to a line that contains the points (-5,4) and (-2,4)
Answer:
the slope of the line is: 0
Step-by-step explanation:
4-4=0
-2-5= 3
1. a) What is the area of this square with sides of 5x4y²?
Please Im stuck. One box contains 24 bottles of soda. Each bottle contains 0.5 dl. Alex celebrates his birthday and 1/3 of the bottles are drunk. A) How many bottles are drunk? B) How many liters of soda are drunk in total on the birthday?
Answer:
(a) 8 bottles(b) 0,4 LitresStep-by-step explanation:
There are
24 bottles/box0,5 decilitres/bottle = 50mL/bottle = 50 × 24 bottles = 1200mL = 1.2 Litres1/3 of the bottles are drunk = 1/3 × 24 = 8 bottles are drunk (a)8 bottles × 50 mL = 400 mL = 0,4 Litre____________________
#IndonesianPride - kexcvi
6. Select the figure that can be formed when a cube is cut by a plane parallel to its base.
A. line
B. square
C. trapezoid
D. triangle
7. Select all figures that can be formed when a rectangular pyramid is cut by a plane parallel to its base.
A. point
B. rectangle
C. trapezoid
D. triangle
8. This is a cylinder.
Select all figures that can be formed by a vertical slice perpendicular to the bases of the cylinder.
A. circle
B. line segment
C. rectangle
D. oval
9. A family just removed a big tree from their backyard. The diameter of the circular hole left behind is 7 feet across. Approximately how many square feet of grass will the family need if they want to cover the area where the tree once was?
A. 22 ft²
B. 39 ft²
C. 44 ft²
D. 154 ft²
Answer:
Step-by-step explanation:
6. Cross-section is a square.
:::::
7. Point and rectangle
:::::
8. line segment and rectangle
:::::
area of hole = π3.5² = 12.25π ≅ 39 ft²
Hi pls help me thanks :)
Answer:
B
Step-by-step explanation:
combine like terms in the expression 10g+14k-3k-8g-10k-2g
Find the value of x. Round to the nearest tenth (one decimal place)
19
21
Using the Pythagorean theorem:
X = sqrt(21^2 - 19^2)
X = sqrt(441 - 361)
X = sqrt(80)
X = 8.944
Rounded to the nearest tenth = 8.9
Answer:
x = ~8.9
Step-by-step explanation:
a^2 + b^2 = c^2
c is the long side
a and b are the other two shorter sides
this means
x^2 + 19^2 = 21^2
x^2 + 361 = 441
x^2 = 441- 361
x^2 = 441- 361
x^2 = 80
square root of 80 = ~8.9
x = ~8.9
Are lines JN and KM parallel?
Answer:yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
if you remove the triangle, they will continuously go on both sides with one on the other.
I need help with this please
Answer:15
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
9×3=12
12×3=15
So the answer is 15
X = y-2
2x-y=2
X=
Y=
Answer:
y =4 and x=6 hope it may help u
ill mark brainlist plss help
Answer:
170 cm²
Step-by-step explanation:
Formula for the area of a parallelogram is A = bh or area = base times height
10 cm x 17 cm = 170 cm squared
What expression is equal to 5,007.992?
Please help me with this question
find the missing value
Answer:
I have made it in above picture
it a tets please help it due today
Math help plzzhxbcbfb
What is the area of triangles in square yards
Answer:
37.625 square yards or 37⅝ square yards
Step-by-step explanation:
Area of the triangle = ½*base*height
Where,
base = 10¾ yd = 10.75 yds
height = 7 yds
Substitute the value of each variable into the equation:
Area = ½*10.75*7
Area = 37.625 square yards or 37⅝ square yards
A person places $51200 in an investment account earning an annual rate of 5.4%, compounded continuously. Using the formula V = Pert, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 6 years.
Answer:
7,078,912 cents
Step-by-step explanation:
Given the formula for calculating the value of the account in t years as;
V = Pe^rt
P is the principal initially invested
e is the base of a natural logarithm,
r is the rate of interest
t is the time
Given
P = $51200
r = 5.4% = 0.054
t = 6years
Substitute
V = 51200e^(0.054)(6)
V = 51200e^(0.324)
V = 51200(1.3826)
V = $70,789.12
V = 7,078,912 cents
hence the amount in the account after 6 years to the nearest cent is 7,078,912 cents
Answer:
Step-by-step explanation:
Which dashed line is an asymptote for the graph
Need help with this asap!!
Answer:
≈ 53.7° (Option 3)
Step-by-step explanation:
In the figure given above , the lengths of other two sides (excluding hypotenuse) are known to us. So , it would be convenient to use 'tan'.
Length of side opposite to angle 'x' = 15 cm
Length of side adjacent to angle 'x' = 11 cm
Using 'tan' formula - [tex]\tan x = \frac{Side \: opposite \: to \: x}{Side \: adjacent \: to \: x}[/tex] , lets solve this.
[tex]=> \tan x = \frac{15}{11}[/tex]
Using inverse tan function , lets find x.
[tex]=> x = {\tan}^{-1}(\frac{15}{11} )[/tex] ≈ 53.74°
The ratio of cows to chickens on Tweedy's Farm is 2:7. Which farms have a greater ratio of cows to chickens than Tweedy's Farm? Select all that apply.
a Steller Stover's Farm 3 cows for 5 chickens
b Awesome Ansel's Farm 1 cow for every 5 chickens
c Happy Hall's Farm 1 cow for every 3 chicken
d Jumping Jack Jones Farm 3 cows for every 8 chickens
The answer would be B) Awesome Ansel's Farm 1 cow for every 5 chickens.
a clothing store is having a sale on tshirts. the first tshirt you buy costs $7, and every additional shirt costs only $5
Answer:
12
Step-by-step explanation:
bc I added 7+5 equals 12
f^-1(x)= -3+^3 squareroot x+4 is the inverse function of f(x)= (x-3)^3 +4 true or false
Find the value of x
Please help
Answer:
x = 18Step-by-step explanation:
60 / 27 = 80 / 2x ---- ( by B.P.T )
2x = 27 × 80 ÷ 60
2x = 36
x = 36÷2
x = 18
Which of the following polygons is not a regular polygon?
Answer:
b
Step-by-step explanation:
polygons is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain or polygonal circuit
Answer:
rectangle is the answer can i get a brainlist
Step-by-step explanation:
What is the value of this expression? {18÷(2+4)}+3×2 Enter your answer in the box.
Answer:
The value of the expression is 78
Step-by-step explanation:
Answer:
Step-by-step explanation:
{18÷(2+4)}+3×2 = {18÷6}+3×2
= 3+3×2
= 3+6
= 9
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.11 millimeters and a standard deviation of 0.07 millimeters. Find the two diameters that separate the top 9% and the bottom 9%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.
Answer:
The diameter that separates the bottom 9% is 5.02 millimeters.
The diameter that separates the top 9% is 5.2 millimeters.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 5.11 millimeters and a standard deviation of 0.07 millimeters.
This means that [tex]\mu = 5.11, \sigma = 0.07[/tex]
Bottom 9%:
The 9th percentile, which is X when Z has a pvalue of 0.09. So X when Z = -1.34.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.34 = \frac{X - 5.11}{0.07}[/tex]
[tex]X - 5.11 = -1.34*0.07[/tex]
[tex]X = 5.02[/tex]
The diameter that separates the bottom 9% is 5.02 millimeters.
Top 9%:
The 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91. So X when Z = 1.34.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.34 = \frac{X - 5.11}{0.07}[/tex]
[tex]X - 5.11 = 1.34*0.07[/tex]
[tex]X = 5.2[/tex]
The diameter that separates the top 9% is 5.2 millimeters.
Which equation matches the graph
Answer:
it is A
Step-by-step explanation:
because there is negative 3 and a positive 9