Answer:360
Step-by-step explanation:g-g5
The rate of interest will be 0.35.
What is compound interest?
Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Compound interest formula[tex]CI = P(1+\frac{r}{n}) ^{nt} -P[/tex]
and, the Amount is given by
[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]
Where,
A is amount
P is principal
r is rate of interest
n is number of times interest is compounded per year
t is time
According to the given question
Principal, P = $210
Amount, A = $250
Time, t = 5 years
n = 1
Therefore, the interest rate is given by
Amount = [tex]P(1+\frac{r}{n}) ^{nt}[/tex]
⇒[tex]250 = 210(1+\frac{r}{1}) ^{5}[/tex]
⇒[tex]\frac{250}{210} =(1+r)^{5}[/tex]
⇒[tex]1.19 = (1+r)^{5}[/tex]
⇒[tex]\sqrt[5]{1.19} = 1+r\\[/tex]
⇒ 1.035 = 1 + r
⇒ r = 1.035 - 1
⇒ r = 0.35
Hence, the interest rate is o.35.
Learn more about compound interest here:
https://brainly.com/question/14295570
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Gavyn drives at a speed of 50 miles per hour how long will it take to drive 225 miles
Answer:
:4.5 hoursStep-by-step explanation:225 divided by 50 = 4.5
Answer:
its 4 hours and 30 minutes
Step-by-step explanation:
if 50 is equvalemt to 1 hour then 225 divide by 50 then the answer was 4.5 and the 4.5 is equal to 4 hours and 30 minutes
mark me
The total cost y varies directly with the number items x sold. Write a direct variation equation if
the item cost $2.35.
Answer:
xy = 2.35
Step-by-step explanation:
The width of a rectangle is 2 inches smaller than its length. The perimeter is 24 inches. Find the length and width of the rectangle.
Answer:
7 inches and 5 inches
Step-by-step explanation:
The length the length and width of the rectangle be l and b.
Accodrding to question,
Width, b = l-2
Perimeter, P = 24 inches
We know that,
The perimeter of a rectangle is given by :
P = 2(l+b)
24 = 2(l+l-2)
12 = 2l-2
14=2l
l = 7 inches
Width, b = 7-2 = 5 inches
Hence, the length and width of the rectangle are 7 inches and 5 inches respectively.
Solve for b.
b = ✓ [?]
Enter the number
that goes beneath
the radical symbol.
9
16
b
3
Answer:
b =✓45
Step-by-step explanation:
9^2-6^2
√45
b= ✓45
rewrite in a simpler equivalent form and solve
For a theater play, the school sold 120 blue tickets for students and 80 red tickets for adults. What percent of the tickets were sold to students?
Answer:
Step-by-step explanation:
120+80=200 the total number of tickets
120(student tickets) ÷ 200 (total tickets)= .6 =60%
Answer:
bin
Step-by-step explanation:
bghgghhshshsbabbsnajswjjegvrjrjrhrbrhrriritt
Choose the triangle in which angle 2 is not an exterior angle.
help me...new freinds?
Answer:
The third triangle
Step-by-step explanation:
The Exterior Angle is the angle a side of a shape and a line extended from the side next to it.
So for example, the first picture shows an exterior angle because a line was extended and it forms an angle with the triangle's side.
The second picture is still an exterior angle because the angle is formed with an extended line and the triangle's side.
The third photo shows an angle formed between a random line and the triangle's side. This is not an exterior angle because the angle is not formed with any side's extension.
The fourth photo is an exterior angle because it shows the angle being formed with an extension of a line from the triangle and a side of the triangle.
Hope this helps! Feel free to ask any questions! :)
Answer:
C the third triangle. Hope this helps
Step-by-step explanation:
Solve for xxx. Your answer must be simplified. -4+x≤9
Answer:
x≤13
Step-by-step explanation:
-4+x≤9
Add 4 to each side
-4+4+x≤9+4
x≤13
Answer:
x≤13
Step-by-step explanation:
khan
Answer to get marked brainiest!
Answer:
D
Step-by-step explanation:
a certain bacteria populations doubles in size everyday. Suppose a sample starts with 500 bacteria. write an expression that models the number of bacteria in the same sample after x days. Evaluate the expression for x=0,2,and 5
Answer:
16,000
Step-by-step explanation:
16,000 - answer
The price of a watch was increased by 20% to £198
What was the price before the increase?
using the parent function f(x) = 2^x, write the new function, g(x), that transforms f(x) by shifting 6 units up
Answer:
g(x) = 2^x + 6Step-by-step explanation:
Parent function:
f(x) = 2^xTranslation 6 units up:
g(x) = f(x) + 6or
g(x) = 2^x + 6Read the following bar graph and answer the following related questions :
a) Who got the maximum marks?
b) Who got the minimum marks?
c) The ratio between the marks obtained by Saroj and Vimla is _______.
d) How many girls have got marks of more than 100?
Answer:
who got the maximum marks? it would have been apala she got the high mark
2[(483 2 - 151] help
Answer:
1630
Step-by-step explanation:
Hope this helps
1. 1/48 simplified
2. ben is making bread that calls for 5 cups of flour. His measuring cup only holds 1/2 cup. How many times will Ben need to fill the measuring cup to get the 5 cups of flour?
Answer:
The answer is 10
Step-by-step explanation:
[tex] \frac{1}{2} x = 5 \\ x = 10[/tex]
help please. I dont know how to solve
Determine m∠DFG :))))
=========================================================
Explanation:
We can apply the remote interior angle theorem.
The exterior angle DFG is far away from the remote interior angles FGH and GHF. In other words, the exterior angle is not adjacent to these remote interior angles.
The remote interior angles add to this exterior angle.
(angle FGH) + (angle GHF) = angle DFG
(89) + (5x-7) = 14x+1
5x + 82 = 14x + 1
82-1 = 14x-5x
81 = 9x
9x = 81
x = 81/9
x = 9
If this is the case, then,
angle DFG = 14*x+1 = 14*9+1 = 127
The measure of angle ABD is 105º. The measure of angle ABC is 75º. What is the measure of angle CBD? A 75° B >C ? D 1>) 170° 1) 30° 1) 25° 1) 180°
Amy has 4 pounds of ground pork to make meatballs. She uses 5/8 pound per meatball to make 6 meatballs. How many 1/8 -pound meatballs can amy make with the remaining ?
WILL MARK YOU BRAINLIEST
Answer:
ABCD is a rhombus => AC is perpendicular with BD
=> AC = 2(2n + 5) = 30
<=> 2n + 5 = 15
=> n = 5
with n = 5 => AC/2 = 15
BD/2 = 4.5 - 3 = 17
BC² = (AC² + BD²)/4 = 514/4 = 128.5
=> BC = 11.34
Answer:
Step-by-step explanation:
The question is what does 2n + 5 represent? Is it 1/2 the line or all of AC. There seems to be a run on ambiguous questions. I'm going to assume that 2n + 5 is AC -- all of it. And 4n-3 is all of BD.
AC = 30
2n + 5 = 30 Subtract 5 from both sides.
2n = 30 - 5
2n = 25 Divide by 2
n = 25/2
n = 13.5
====================
BD = 4n - 3
BD = 4*13.5 - 3
BD = 54 - 3
BD = 51
A toll road company has two plans for customers. One plan charges $10 per month for rental of a transponder (a box that identifies your car on the toll roads) plus $0.60 per mile driven. The second plan does not require that you rent a transponder. Instead, it charges customers $0.75 per mile driven on the toll road. Find the minimum number of miles you would need to drive in a month to make the first deal a better deal.
Answer:
The minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.
Step-by-step explanation:
For the first deal to be a better deal it has to cost less than the second plan and you can write an equation in which the first plan has a lower cost than the second one:
10+0.60m<0.75m, where:
m is the number of miles driven
Now, you can solve for m:
10<0.75m-0.60m
10<0.15m
10/0.15<m
m>66.6
According to this, the answer is that the minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.
Simplify the expression.
11.3 +9 - 7 = 1
Basic
Comm:
Help I'm justing learning about this and I don't know what to start or do
help please. 10 points to who help me
9514 1404 393
Answer:
64/109 ≈ 0.5872
Step-by-step explanation:
41 + 23 = 64 of the events have outcome E.
An additional 35 + 10 = 45 do not.
The probability of an outcome of E is 64 out of a total of 64+45 = 109 events.
P(E) = 64/109 ≈ 0.5872
Can y’all help with this question plz
Ryan bought a brand new car for $18,000. Its value depreciated at a rate of 1.2%.
Write a function to represent the value of the car as a function of time.
A. v(t)=18000(0.012)^t
B.V(t)=18000(1.2)^t
C.v(t)=18000(98.8)^t
D(t)=18000(0.988)^t
Answer:
A(t)= 18000(0.988)^t
Step-by-step explanation:
Given data
Ryan bought a brand new car for $18,000
Its value depreciated at a rate of 1.2%
Let us use the compound expression
A= P(1-r)^t
substitute
A= 18000(1-0.012)^t
A(t)= 18000(0.988)^t
Hence the expression is A(t)= 18000(0.988)^t
A function to represent the value of the car as a function of time is v(t) = 18000(0.988)^t
Exponential functionThe standard exponential equation is in the form y = ab^x
b is the rate which can be growth or decline
If the value of b < 1, it is a depreciationIf the value of b > 1, it is an appreciationIf Ryan bought a brand new car for $18,000 and its value depreciated at a rate of 1.2%, the exponential equation represented by this statement is;t
v(t) = 18000(1-0.0012)^t
v(t) = 18000(0.988)^t
Hence a function to represent the value of the car as a function of time is v(t) = 18000(0.988)^t
Learn more on exponential function here: https://brainly.com/question/12940982
Three times the sum of a number and nine is 12. Find the number.
Answer:
7
Step-by-step explanation:
3x+9=12
3x=21
x=7
Answer:
[tex] - 5[/tex]
Step-by-step explanation:
[tex]3(x + 9) = 12[/tex]
Helen goes into a shop.
She wants to buy 2 shirts and a pair of shorts,
Each shirt costs £24.50
The pair of shorts costs £18.90
Helen only has £70 to spend,
Does Helen have enough money to buy the 2 shirts and the pair of shorts?
Answer:
yes
Step-by-step explanation:
2*24.50=49 (two shirts)
18.90 (pair of shorts)
49+18.90=67.90
she can spend 70, means she can buy all of those and she still has 2.10
WILL MARK YOU BRAINLIEST
Answer:
5
Step-by-step explanation:
2(5) + 5 = 15
What is the product of (–8.2)(1.9)?
–15.58
–6.3
6.3
15.58
Answer:
-15.58
Step-by-step explanation:
Answer:
-15.58
Step-by-step explanation:
Multiply the traditional way
-8.2
x1.9
-------
738
820
----------
15.58
But because you're multiplying a positive and a negative, the answer will be negative leaving you with (-15.58)