Answer:
6.6
Step-by-step explanation:
I just did this :)
The interest rate annually will be 6.6% for the given compound interest will be 6.6%.
What is compound interest?
Compound interest is applicable when there will be a change in principal amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount.
As per the given,
Principle amount P = $2100
Time period T = 14 years
The annual rate of interest is R
Total investment = $5300
Number of times interest applied per time period n = 12
By compound interest formula,
5300 = 2100[1 + R/(100)]^(12 x 14)
(1 + R/1200)¹⁶⁸ = 5.524
1 + R/1200 = 5.51 x 10⁻³
R = 6.6% annually
Hence "The interest rate annually will be 6.6% for the given compound interest will be 6.6%".
For more information about compound interest,
brainly.com/question/26457073
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Exercise 41
To measure the width of a river, you plant a stake on one side of the river, directly across from a boulder.
You then walk 100 meters to the right of the stake and measure a 79° angle between the stake and the
boulder. What is the width w of the river? Round your answer to the nearest meter.
Mattraimale
079
100 m
PUR
m
Answer:
514 m = width of the river to the nearest meter
Step-by-step explanation:
You must memorize the definitions of the trig functions and then these types of problems are easy.
You have a right triangle where the 100 m is the adjacent side to the 79° angle. You are looking for the side opposite the 79° angle. So, you need to use the tan function which is defined as opposite side/adjacent side
Let x = the length of the opposite side (width of river)
Tan 79 = x/100
100 tan 79 = x
x = 514 m = width of the river to the nearest meter
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The width of the river is 514.455 meters.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
Base is the adjacent smaller side of the angle θ.
As it is given that you walk 100 meters to the right of the stake and measure a 79° angle between the stake and the boulder. Therefore, using the tangent angle the width of the river can be written as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}\\\\\\\rm tan(79^o) = \dfrac{\text{Width of the river}}{100\ meter}\\\\\\\text{Width of the river} = tan(79^o) \times 100 = 514.455\ meters[/tex]
Hence, the width of the river is 514.455 meters.
Learn more about Tangent (Tanθ):
https://brainly.com/question/10623976
how many square feet of outdoor carpet will need for this hole?
Answer:
8ft^2
Step-by-step explanation:
3 by 2 is 6ft^2
1 by 2 is 2ft^2
You can simply add them together for your total! Enjoy!
Answer:
you need 8 more for the missing
Step-by-step explanation:
3 x 2 = 6 1 x 2 = 2 = 8
A plumber charges $18 for transportation and $27 per hour for repairs.
Complete the expression that can be used to find the cost in dollars for a repair that takes h hours.
An expression that can be used to find the cost in dollars for a repair that takes h hours is
h.
Total = price per hour x number of hours + travel fee.
Total = 27h + 18
wait i love food sooooooooooooooooooooo much
Answer:
Me toooooooooo..!!!!!!!
(70 points)------------------
Answer:
Wait I don't understand the question... It looks like it is already answered- :(
Step-by-step explanation:
Identify the correct equation for the graph below.
i think it is c
im not sure
Which expression gives the measure of Z RST in the diagram below?
T
u
S
38
V
162
R
A. 162° + 38°
B. 162° -38°
c. Ż(162° - 38°)
O D. (162° + 38°)
Answer:
Your answer should be C. 1/2(162 - 38)
Step-by-step explanation:
A raffle has 50 tickets. One ticket will win a $590 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
Answer:
$11.8
Step-by-step explanation:
Probability of winning = 1/50
Probability of not winning = 1 - 1/50 = 49 / 50
Amount won = 590
X : ____ 590 ___ 0
P(X) : __ 1/50 __ 49/50
Expected payoff :
ΣX * p(x)
(590 * 1/50) + (0 * 49/50)
0.02 * 590 + 0
11.8 + 0
= $11.8
Solve for x.
2x-2=-12
please help
Answer:
-5
Step-by-step explanation:
2x=-10
x=-5
Answer:
x = -5
Step-by-step explanation:
2x - 2 = -12
(Add 2 on both sides)
2x - 2 (+2) = -12 (+2)
(simplify)
2x=-10
(Divide by 2 on both sides)
2x/2 = -10/2
(Simplify)
x = -5
Hope this helps :)
determine whether the ratios are equivalent. 4 7 and 8 11
Answer:
answer is the ratios are not equivalent or not in proportion
Step-by-step explanation:
you can find it by crops multiplication
4/7
8/11
4*11
8*7
44=56
Therefore it is not in proportion
Answer: 4 : 7 = 8 : 14
8 : 11 = 16 : 22
Step-by-step explanation:
The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.
The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.
Plzzz brainlest I swear
Answer:
i think 82.00 per hour im not really sure
PLEASE HELP!! i’ll give brainliest!
John went to the store and bought 3 books for $18. How many books could he purchase for $54? *
Answer:
He bought 9 books.
Step-by-step explanation:
If $18 can by 3 books to find how much one book costs we divide 18 by 3 and get six.
54÷6=9
I hope this helps you :)
image down below plz help
Answer:
12 boys and 18 girls
Step-by-step explanation:
the ratio from boys to girls is 2 to 3
12/2=6
18/3=6
both equal 6 meaning that both are proportional meaning that A is the correct answer
Answer:
a.
Step-by-step explanation:
12 and 18 is equal to 2/3
Jasmine enlarged a drawing she made in art class. What is the value of x
Original smaller drawing=2.5-Width 4-height / Enlarged drawing = Width - x Height- 60
Write the equation of the line below in slope-intercept form.
_, _, _, _,-5, -9
Complete the Fibonacci codes ASAP pleasee
Answer:
11,7,3,-1,-5,-9
Step-by-step explanation:
count by 4
ASAP i need help with this. I will give you brainlist
Part A
Students at Sunnyside Middle School are selling tickets to the annual talent show. Below is a table showing ticket prices for students and adults.
Talent show ticket prices
Student Price $3
Adult Price $5
What amount of money would be collect if 60 students and 30 adults bought tickets? Show or explain how you got your answer.
Part B
For this part define s and a as follows:
S= number of students tickets purchased
A= number of adult tickets purchased
The total of all tickets sold was $625.00. Write an equation in items like of s and a to represent this information
Part C for this part define a and a as follows:
S= number of adult tickets purchased
A=number of adults tickets purchased
The total number of students and adults who bought tickets is 165. Write an equation in terms of a and a to represent this information.
Part D
Using the information in parts (b) and (c), determine the following:
The number of students who bought tickets
The number of adults who bought tickets
Show or explain how you got each of your answers.
Danny is looking at a statue in the park from 24 feet away. The distance from the top of the statue of the top of dannys head is 26 feet. If danny is 6.5 feet tall, how tall is the statue
Answer:
16.5 ft
Step-by-step explanation:
the Step by step detailed solution is attached please check and feel free to ask any doubt.
Help me pleaseeeeeeeeeeeee
Answer:
30
Step-by-step explanation:
You can slit it into two rectangles. On rectangle would have a area of 2x6 and another rectangle could have an area of 6x3. then you solve the area of the rectangles and add them for the total area. I have a picture of it:
Answer:
30 square feet
Step-by-step explanation:
1. Approach
Break up the given figure into two smaller rectangles. Calculate the area of those two rectangles, and then add up the results.
2. Rectangle 1
The is one extend the line with the measurement of (4ft), then one will get a rectangle with the dimensions of (6ft) and (3ft). Use the formula,
[tex]length * height = area[/tex]
Substitute;
6 * 3 = 18
3. Rectangle 2
The other rectangle that will result from this partitioning will have the dimensions (2ft) and (6ft). Again use the formula,
[tex]length * height = area[/tex]
Substitute,
2 * 6 = 12
3. Find the total area
Add up the area of these two smaller rectangles,
rectangle1 + rectangle2
= 18 + 12
= 30
An online furniture store sells chairs and tables. Each day, the store can
ship no more than 27 pieces of furniture. Write an inequality that could
represent the possible values for the number of tables sold, t, and the
number of chairs sold, c, that would satisfy the constraint.
Answer:c+t<_27
Step-by-step explanation:
what is 12+ 15x please
Answer: 15x+12
Step-by-step explanation: This expression is already simplified :( You can reverse the coefficients though! Both will still be equal, but you can’t simplify anymore.
Maya made 25% of her free throws over the season. If she shot 180 free throws, how
many did she make?
Multiply the number of shots she tried by the percentage she makes:
180 x 025 = 45
She made 45
Answer:
45
Step-by-step explanation:
25% is 1/4.
180/4 is 45.
find the area of the figure
33
Step-by-step explanation:
Question 4:
b
S
You and your three friends take turns taking random samples of 10 jellybeans from a jar of
800 jellybeans. All the jellybeans are returned to the jar and mixed in, before the next sample
is taken out. The table shows the number of different coloured jellybeans in each sample.
Sample
1
2
3
4
Red
6
4
5
4
Yellow
1
3
2
4
White
3
1
2
1
Green
0
2
1
1
1
a) For each sample what is the experimental probability of picking a red jellybean?
Sample 1:
Sample 2:
Sample 3:
Sample 4:
aww
Answer:
.op
Step-by-step explanation:
I’m in a timer of a project please help me?
Answer:
Step-by-step explanation:
1. I do not agree with Ahmed.
2. 0.45cm,65mm,90m.
3. I don't agree with Ahmed because when all the lengths are put in the same unit we have: 0.45cm,6.5cm,9000cm
PLEASE MARK BRAINLIEST.
PLS HELPPPPPPPPP I DONT GET IT
Answer:
c
IT was pretty easy
Jack is selling holiday ornaments and boxes of candy. Each ornament is $1.50 and
each box of candy is $3.00. Jack sold a total of 15 items for $27. How many boxes of
candy did he sell?
Answer:
x = 12, y =
Step-by-step explanation:
Let x=# of Ornaments and y=# of boxes of candy. The system of equations is:
x + y = 15
1.5x + 3y = 27
And solve via elimination
1.5 x = 18
x = 12, y =3
HAVE A GOOD DAY
work out the equation of the line which has a gradient of 2 and passes through the point (1,4).
Answer:
y = 2x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope (gradient) and c the y- intercept )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (1, 4) into the partial equation
4 = 2 + c ⇒ c = 4 - 2 = 2
y = 2x + 2 ← equation of line
Answer: y=2x+2
Step-by-step explanation:
If I start with 3 and count by 4's until I reach 99, I get 3, 7, 11, …, 99, where 3 is the first number, 7 is the second number, 11 is the third number, and so on. If 99 is the Nthnumber, what is the value of N?
Answer:
Given variables:
a=3
d=4
Tn=99
N=?
Using the formula
Tn=a+(n-1)d
99=3+(n-1)4
96=4(n-1)
24=n-1
25=n
Therefore N=25