How much money would you have in an account after 15 years if you earned 9,3% annually and you started with R573,00?
Given:
Principal = R573.00
Rate of interest = 9.3% annually
Time = 15 years.
To find:
The amount after 15 years.
Solution:
Formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of time interest compounded in an year and t be the number of years.
The interest is compounded annually, so n=1.
Putting [tex]P=573,r=0.093,n=1,t=15[/tex] in the above formula, we get
[tex]A=573\left(1+\dfrac{0.093}{1}\right)^{1(15)}[/tex]
[tex]A=573\left(1+0.093\right)^{15}[/tex]
[tex]A=573\left(1.093\right)^{15}[/tex]
[tex]A=2174.98893[/tex]
[tex]A\approx 2174.99[/tex]
Therefore, the amount in the account after 15 years is about R2174.99.
What is the perimeter of this shape? Use numbers only. *
Answer:
13 m.
Step-by-step explanation:
Formula for perimeter of a rectangle: side + side + side + side.
In other words, add every side of the rectangle.
[tex]2.5+4+2.5+4=13.[/tex]
Therefore, 13 meters is the perimeter of this shape.
Answer:
13m
Step-by-step explanation:
Perimeter of a Rectangle: 2(L + W) where L is the Length, and W is the Width of the rectangle.
=> 2(4 + 2.5)
=> 2(6.5)
=> 13
Perimeter of the Figure = 13 m
Hope this helps!
the hypotenuse of a 30-60-90 degree right triangle has a measure of 10. what is the measure of the shortest side
Answer:
5
Step-by-step explanation:
A 30-60-90 triangle's sides equal as follows:
Hypotanuse= x (a number)
Long side= x/2( also can be calculated as x* 1/2) * [tex]\sqrt{3}[/tex]
Short side = x/2 or x * 1/2
Ling's elementary school principal wants to hire some new teachers. 6 teachers applied for one 1st grade teaching job, and 3 teachers applied for one 2nd grade teaching job. There is also a job opening for a 3rd grade teacher, and 3 teachers applied for the job. How many different ways can Ling's principal hire new teachers?
Answer:
Ling's principal can hire new teachers in 54 different ways.
Step-by-step explanation:
Since Ling's elementary school principal wants to hire some new teachers, and 6 teachers applied for one 1st grade teaching job, and 3 teachers applied for one 2nd grade teaching job, and there is also a job opening for a 3rd grade teacher, and 3 teachers applied for the job, to determine how many different ways can Ling's principal hire new teachers the following calculation has to be done:
6 x 3 x 3 = X
18 x 3 = X
54 = X
Therefore, Ling's principal can hire new teachers in 54 different ways.
dele took 25 minutes to walk to school and he arrived at exactly 8:00am, at what time did he leave his home
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
Answer:
243 ft^3
Step-by-step explanation:
The volume of a triangular prism is the triangular base times the height.
To get the area of the triangle, multiply the base time height and divide by 2.
9*6/2=27
Now multiply by the height
27*9=243
Answer: 243 ft^3
Answer:
243ft^3
Step-by-step explanation:
2x+y=3
x-y= 1
solve the equation
Answer:
x = 4/3
y = 1/3
Step-by-step explanation:
System of equations! This is set up really well to make the second equation equal x then substitute.
x - y = 1
x = 1 + y
and then our substitution:
2 (1+y) + y = 3
and solve:
2 + 2y + y = 3
3y + 2 = 3
3y = 1
y = 1/3
And now we can substitute that value into one of our equations:
x - (1/3) = 1
x = 4/3
Next we should check by substituting these values into both of our equations:
2 (4/3) + (1/3) = 3
9 / 3 does equal 3 !
(4/3) - (1/3) does equal 1 !
Therefore, x = 4/3 , and y = 1/3
What are the zeros of the function f(x) = (x + 5)(2x-3)?
O A. x=-5 and x = 8
O B. x = -5 and x = 4
O C. x = 5 and x = -8
O D. x = 5 and x = -4
Can someone help me please?
9515 1404 393
Answer:
10 inches
Step-by-step explanation:
Use the formula for the area of a trapezoid. Fill in the given information and solve for the unknown.
A = 1/2(b1 +b2)h
50 in² = (1/2)(3 in +7 in)h
50 in²/(5 in) = h . . . . . . . . . . divide by the coefficient of h
10 in = h
The height of the trapezoid is 10 inches.
What is the surface area?
4 ft
4 ft
4 ft
The surface area of what shape exactly?
Answer:
Hello! answer: 96Step-by-step explanation:
I'm assumung this is a cube sense cubes will equal the same for all 6 sides we just have to find 1 side then just multiply by 6 to get the answer easy peasy!!! so 4 × 4 = 16 and 16 × 6 = 96 so 96 is our surface area Hope that helps!
Please no troll include work
does anyone know what happened to the tutors??
Answer:
Hey! I'm honestly not sure.
Step-by-step explanation:
I dont have the app... but on the website I'm pretty sure they dont have any.
Have a nice day <3
large pies cost $5 and small pots cost $2. If $45 pies were sold for $120 how many small pies were sold
Answer:
I'm assuming that's supposed to just be 45, not $45
Step-by-step explanation:
35 small pies were sold
10 large pies = $50
35 small pies = $70
50 + 70 = 120
.Please help with question 21
Answer:
y=500x+20000
Step-by-step explanation:
Sally has 3 yards of yarn. She will use 6 inches per bracelet. How many bracelets can she make?
3 feet in a yard... 12x3 = 36...... 36+36+36 =108 inches
108 divided by 6 is 18 bracelets
2.- Un campesino guarda un doceavo de su trigo cosechado para semilla, un sexto de la misma
cosecha lo convierte en harina y vende 288 kilos. ¿Cuántos kilogramos de trigo cosechó?
f(x) = 2x3 – 3x2 + 5
g(x) = 3x3 + 2x2 – 4x – 9
Find (f - g)(x).
A lawn service owner is testing new weed killers. He discovered that a particular weed killer was effective 89% of time. Suppose that this estimate was based on a random sample of 60 applications. Find the lower confidence limit (LCL) for a 90% confidence interval for p, the true proportion of weeds killed by this particular brand. Round your answer to two decimal places.
Answer:
The LCL for a 90% confidence interval for p is 0.82.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A lawn service owner is testing new weed killers. He discovered that a particular weed killer was effective 89% of time. Suppose that this estimate was based on a random sample of 60 applications.
This means that [tex]\pi = 0.89, n = 60[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 - 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.8236[/tex]
Rounding to two decimal places, the LCL for a 90% confidence interval for p is 0.82.
Helllpppp pls answer both questions !!!! 30pts
A child pool is 3.8 feet wide 5.5 feet long and 1.2 fee deep, what is the volume of the pool?
Answer:
25.08
Step-by-step explanation:
Answer:
25.08 cubic feet
Step-by-step explanation:
v = l * w * h
v = 5.5 * 3.8 * 1.2
v = 25.08 cubic feet
Is the expression 3x+2 a binomial?
Yes, this is a polynomial, but a special form of a polynomial with just one term which is called a monomial .
if A(2;2) and B(-3;4), determine the equation of AB, in the form y=mx+c
Answer:
[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + c[/tex]
In which m is the slope and c is the y-intercept(value of y when x = 0).
A(2;2) and B(-3;4)
When we have two points, the slope is the change in y divided by the change in x. So
Change in y: 4 - 2 = 2
Change in x: -3 - 2 = -5
Slope: [tex]m = \frac{2}{-5} = -\frac{2}{5}[/tex]
So
[tex]y = -\frac{2}{5}x + c[/tex]
A(2;2)
When [tex]x = 2, y = 2[/tex]. We use this to find c.
[tex]y = -\frac{2}{5}x + c[/tex]
[tex]2 = -\frac{2}{5}(2) + c[/tex]
[tex]c = 2 + \frac{4}{5} = \frac{10}{5} + \frac{4}{5} = \frac{14}{5}[/tex]
So
[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]
83. A student estimated the height of a tree as 47
feet. If the actual height is 53 feet, what is the
percent error rounded to the nearest percent?
(Hint: Compare the estimated height to the actual
height.)
Poviow (SARZA
Page 8
Which sentence has the quotation marks placed correctly ?
1.) “Mother ," I cut my finger , said Jane.
2.) "Mother, I cut my finger," said Jane.
3.) Mother, I cut my finger, "said Jane."
4.) "Mother, I cut my finger, said Jane."
ia had 50 carrot sticks for her
study group to snack on. There were
6 people eating the carrot sticks, and
each person ate an equal number of
carrots until there weren’t enough
left to share equally. How many
carrot sticks were left over? Explain.
Answer:
8.333333333 or 25 /3
Step-by-step explanation:
given the degree of measure of angle KJH is 66 degrees find the measure in radians
9514 1404 393
Answer:
E) 0.366π
Step-by-step explanation:
There are π/180 radians in a degree.
66° = 66°(π/180°) = (66/180)π = 11/30π ≈ 0.366π radians
__
11/30 = 0.366... repeating, so would normally be rounded to 0.367
Chapter 6 Introduction to Variables and Evaluating Expression
Mathematics, Algebra 1
Question 1
Simplify: -2s - 9+7 - 5r use s = 3 and r= -8
The amount of time required to reach a customer service representative has a huge impact on customer satisfaction. Below is the Excel output from a study to see whether there is evidence of a difference in the mean amounts of time required to reach a customer service representative between two hotels. Assume that the population variances in the amount of time for the two hotels are not equal. What is the smallest level of significance at which the null hypothesis will still not be rejected
Answer:
The smallest level of significance at which the null hypothesis will still not be rejected is 0.05.
Step-by-step explanation:
The [tex]p-[/tex] value of t-test is [tex]0.725009[/tex]. This [tex]p-[/tex] value is greater than [tex]0.05[/tex].
Hence, the null hypothesis is not rejected and conclude that there is no sufficient evidence of a difference in the mean amount of time required to reach a customer service representation between two hotels.
The complete question is :
A motorboat travels 102 miles in 3 hours going upstream. It travels 186 miles going downstream in the same amount of
time. What is the rate of the boat in still water and what is the rate of the current?
Rate of the boat in still water:
Rate of the current:
Answer:
Rate in still water = 48 mph.
Rate of current = 14 mph.
Step-by-step explanation:
Let the rate in still water be x and rate of the current be y miles per hour.
Upstream:
x - y = 102/3
Downstream:
x + y = 186/3
Adding the 2 equations
2x = 102/3 + 186/3 = 34 + 62
2x = 96
x = 48 mph.
So 48 - y = 34
y = 48 - 34 = 14 mph.
A student's four test scores were 88, 91, 93 and 86. What score would be needed on a fifth test to obtain a mean of 90 for all five test?
A. 90
B. 92
C. 95
D. 96
Answer:
92
Step-by-step explanation:
88 + 91 + 93 + 86 = 358
90*5 = 450
therefore the fifth test has to be 450 - 358 = 92