Praise put some money into an account paying 4.5% compounded continuously for 10 year
She now has $3567.91 in the account. How much money did she start the account with?
Answer: [tex]\$2297.47[/tex]
Step-by-step explanation:
Given
Rate of interest [tex]r=4.5\%[/tex]
time period [tex]t=10\ year[/tex]
Amount [tex]A=\$3567.91[/tex]
Amount in compound interest is given by
[tex]\Rightarrow A=P[1+r\%]^t[/tex]
where, [tex]P=\text{Principal}[/tex]
Insert the values
[tex]\Rightarrow 3567.91=P[1+0.045]^{10}\\\\\Rightarrow P=\dfrac{3567.91}{1.5529}\\\\\Rightarrow P=\$2297.47[/tex]
So, Praise starts with [tex]\$2297.47[/tex]
2. What is the center of dilation and the scale factor of the dilation of ABCD to EFGH?
Answer:
The center of dilation of ABCD to EFGH is (0, 0), and the scale factor is 4/3
Pavi has a credit line of $8,000 on his credit card. Review the summary of his credit card statement. How much credit does Pavi currently have available on this card? Summary Previous Balance Payments/Credits New Purchases Finance Charge New Balance $2,500.00 $1,500.00 $3,000.00 $7.50 $4,007.50
Answer:
$3,992.50
Step-by-step explanation:
According to the problem, computation of the given data are as follows,
Credit line on credit card = $8,000
Balance Payment = $2,500
Credit = $1,500
New Purchases = $3,000
Finance Charges = $7.50
New Balance = $4,007.50
So we can calculate the available credit on card by using following formula,
Available credit on card = Credit line on credit card -New balance
By putting the value, we get
Available credit on card = $8,000 - $4,007.50
= $3,992.50
There are 48 cups in a box of paper cups. How many cups are in 70 boxes of cups?
Answer:
3360
bc
48 cups x 70 boxes = 3360
Step-by-step explanation:
Robert made 7 loaves of bread. Each loaf of bread uses of a cup of flour. How many cups of flour did Robert use to make 7 loaves of bread?
Answer:
7 cups of flower.
Step-by-step explanation:
He made 7 loaves and each loaf calls for 1 cup of flour. 7 times 1=7...I feel like this is so easy.
what is the equation for the line?
Answer:
y=6/5x+8/5
Step-by-step explanation:
find the slope (6/5) you can find this by making a slope triangle between the 2 points.
now, plug in a point to y=6/5x+b
-2=6/5(-3)+b
-2=-18/5+b
-10/5=-18/5+b
b=8/5 (y-int)
so y=6/5x+8/5
someone please help!
Answer: 62cm^2
Step-by-step explanation: 70-8=62
Events without replacement are independent events.
false
true
Answer:
True
Step-by-step explanation:
When sampling is done with replacement, then events are considered to be independent, meaning the result of the first pick will not change the probabilities for the second pick. Without replacement: When sampling is done without replacement, each member of a population may be chosen only once.
4x-2(x-5)=-8+4x+12 answer plz help #lovedafans
Answer:
x = 3
Step-by-step explanation:
Answer:
The answer is x = 3
expand and simplify
3(x+1)+2(x+2)
Answer:
5x+7
Step-by-step explanation:
3x+3+2x+4
3x+2x+3+4
5x+7
plz mark as brainliest
Expand to write an equivalent expression. −5(7−2)
. Solve for x. a) 10 - 1/4x - 7 b) 3 (x + 8 ) = 21
a) 10 - 1/4x = 7
1/4x = 7 + 10
= 17
x = 17/ (1/4)
b) 3 (x + 8 ) = 21
x + 8 = 21/3
= 7
x = 7 - 8
= -1
The volume of a square pyramid with a base length of 12 cm and a height of 10 cm is ___ cubic cm
Answer:
480 cm³
Step-by-step explanation:
Formula for Pyramid volume = (l*w*x) / 3
we do 12 x 12 x 10 first =
12 x 12 = 144
144 x 10 = 1440
Then divide by 3
1440 / 3 = 480
units = cm³
Answer = 480 cm³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
please help me whit this (if you answer pls show the work)
Answer:
24 ft
Step-by-step explanation:
Use proportions! The old tent has sides of 10ft, and a base of 15ft. The new tent has sides of 16ft and a base of ____ ft.
So, 10/15 = 16/___. Cross multiple and you get 24ft!
Find the missing value to the nearest whole number. sin17∘=x/7
Answer:
2
Step-by-step explanation:
sin 17° = x/7
(sin 17°) 7 = (x/7)7
x = sin 17° (7)
x = 0.292371704722737 (7)
x = 2.046601933059157
x ≈ 2
Suppose fx) = x? What is the graph of g(x)= x(x)?
Answer:
1/2x^2
Step-by-step explanation:
f(x)=x^2 so g(x)=1/2x^2
if g(x)=x(x) then the answer is 1/2x^2
use desmos to help u select the correct graph
What is the mode of the following set of numbers: 3, 5, 6, 9, 3, 3, 6
A. 5
B. 3
C. 35
What percent of the values are between 10 and 30? Round to the nearest tenth of a percent if necessary.
Answer: 33.3%
Step-by-step explanation: I did this on saavas. also for part b the answer is 32.5.
can ace and expert help me
in which number does 7 resent 10 times the value that it respesnts in 167 300
Answer:
D
Step-by-step explanation:
repeat
In which number does 7 represent 10 times the value that it represents in 167 300.
____________________Solution :-Given Information :-Number ➢ 167 300To Find :-In which number does 7 represent 10 times the value that it represents in 167 300. 215,007392,070450,700572,000791,000Calculation :-In the given number, we can observe that, the face value of digit 7 is on 'Thousands place'. If multiply 7, 10 times, the face value of digit 7 will shift to it's Left Side by 1 digit, since, this condition is seen in the 4th option provided, hence, option 4. 572,000 is the correct answer.
____________________Final Answer :-Option 4. 572,000 is the correct answer
___________________Which answer represents the series in sigma notation? −7+(−2)+3+8+13 ∑j=15(5j−12) ∑j=15(−8j+1) ∑j=15−5(15)j−1 ∑j=155j−1
Answer:
∑j=15(5j−12)
Step-by-step explanation:
For j = 1 up to j = 5
j = 1
(5j - 12) = (5(1) - 12) = 5 - 12 = - 7
j = 2
(5j - 12) = (5(2) - 12) = 10 - 12 = - 2
j = 3
(5j - 12) = (5(3) - 12) = 15 - 12 = 3
j = 4
(5j - 12) = (5(4) - 12) = 20 - 12 = 8
j = 5
(5j - 12) = (5(5) - 12) = 25 - 12 = 13
(-7 + (-2) + 3 + 8 + 13)
Answer:
(5j-12)
Step-by-step explanation:
Other person was right, took the test using the answer they gave.
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
Answer:
3s + c = 38 3s + 2c = 52
Step-by-step explanation:
Answer: Senior Citizen Ticket = $8, Child Ticket = $12
Step-by-step explanation:
Let's use S for senior tickets, C for child tickets.
3S + 1C = 38
3S + 2C = 52
Find C in terms of S with the first equation:
C = 38 - 3S
Now substitute the above equation for C in our second equation to find S.
3S + 2(38 - 3S) = 52
3S + 76 - 6S = 52
-3S = -24
S = 8
Now plug this value for S back into the first equation:
3(8) + C = 38
C = 12
So S = $8 and C = $12
pay:11.71 per hour
hours:11 hours per week
Answer:
$128.81 per week
$515.24 per month
$6182.88 per year
Step-by-step explanation:
[tex]\frac{11.71}{y} :\frac{1}{11}[/tex]
y = 128.81
[tex]\frac{128.81}{y} :\frac{1}{4}[/tex]
y = 515.24
[tex]\frac{515.24}{y}: \frac{1}{12}[/tex]
y = 6182.88
PLEASE HELP MATH I DON'T GET IT
Carmella likes to hike for more than 4 hours but less than 6 hours. She hikes at a speed of 2 miles per hour.
If m is the number of miles Carmella likes to hike, which inequality is true?
A. 0.33
B 2.0
C 4.0
D 6.0
E 8.0
Answer:
Guys the answer is E. I just took the test.
Step-by-step explanation:
Short answer: Look at the inequalities and plug in either 10 or 8 for m and then you're all set :)
Long Answer:So what you should do first is calculate how long she hikes for and how many mph. It says that she likes the hike for more than 4 hours but less than six. She also hikes at least 2 mph. So if you were ever in first grade you would know that she hikes for at least 5 hours. Now 5 x 2 is 10. Now you can either plug 8.0 into the inequalities or 10 but either way its going to be more than whatever number is first in the inequality but less than 12.
Answer:
E.
Step-by-step explanation:
There are 1,024 players in a tennis tournament. In each round, half the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?
Answer:
1,024 ÷ by how many number of rounds= x
Answer:
1,024(0.50)^x That is the answer......................................
lets find the answer
Answer:
-6,3....................
Answer:
(-4,3)
Step-by-step explanation:
HELP ME ASAP!!! On a scale used on a map, 3/4 inch represents 8 feet. On the map, what is the length of a room with an actual length of 24 feet?
A
4 in.
B[tex]1 \frac{3}{4} [/tex]
C
[tex]4 \ \frac{1}{2} [/tex]
D
[tex]2 \ \frac{1}{4} [/tex]
Answer:
D. 2 1/4
Step-by-step explanation:
3/4 inch = 8 feet
24 divided by 8 = 3
(meaning you would multiply eight three times in order to get to 24)
So....
3/4 x 3 = 2 1/4
Answer: 2 1/4
Hope this helps :)
Answer: D - 2 1/4”
Step-by-step explanation:
8 feet goes into 24 feet 3 times
Eg. 24/8 = 3
If 3/4” = 8 feet, then 3 x 3/4” = 24 feet
3 x 3/4” = 2 1/4”
find the LCM 72 ,216, 270
Answer:
1080
Step-by-step explanation:
72 = 2 × 2 × 2 × 3 × 3
216 = 2 × 2 × 2 × 3 × 3 × 3
270 = 2 × 3 × 3 × 3 × 5
LCM(72, 216, 270)
= 2 × 2 × 2 × 3 × 3 × 3 × 5
= 1080
==========================================
Explanation:
Write out the prime factorization of each value. A factor tree may help.
72 = 2^3*3^2216 = 2^3*3^3270 = 2*3^2*5The unique primes that show up are: 2, 3, 5
For the prime factor 2, the highest exponent is 3. So 2^3 is a factor of the LCM.For the prime factor 3, the highest exponent is 3. So 3^3 is a factor of the LCM.For the prime factor 5, the highest exponent is 1. So 5^1 is a factor of the LCMThe LCM is 2^3*3^3*5^1 = 8*27*5 = 1080
Use the Law of Cosines to write an expression equivalent to c. Drag the expressions to show what the values of the variables should be in the radical.
Answer:
[tex] \boxed{\begin{array}{ccc} m = {a}^{2} \\ \hline n = {b}^{2} \\ \hline p = 2ab \\ \hline q = \cos(C) \end{array}}[/tex]
Step-by-step explanation:
recall the formula for law of cosine
[tex] \rm \displaystyle {c}^{} =\sqrt{ {a}^{2} + {b}^{2} - 2ab \cos(C) }[/tex]
thus we acquire
m=a²n=b²p=2abq=Cos(C)Answer:
Solution given:
m=a²
n=b²
p=2ab
q=Cos(C)
law of cosine
[tex] c = \sqrt{a²+b²−2abcos(C)} [/tex]
Determine side x. Round to the nearest unit. 20 9 12 5
Answer:
12
Step-by-step explanation:
First, you will have to use trigonometry. Since the side of the triangleis the opposite of the angle 53 and the hypotenuse, you will use sin.
Sin 53 degrees = opposite side / hypotenuse side.
The opposite side is x and the hypotenuse side equals 15.
sin53= x/15
15 ( sin 53 ) =x
x= 11.97953
Round
x=12