Answer:
Terry initially had £390
Step-by-step explanation:
The ratio of the original amount is 3:7
Let the original amount Terry has be t and the original amount Faye has be f
3/7 = t/f
or simply 3f = 7t ••••••(i)
Terry putting 220 means he now has
t + 220
Faye withdrew 300
He now has f-300
These values are equal
t + 220 = f-300
f = t+220+300
f = t + 520 ••••••(ii)
Put ii into i
3(t + 520) = 7t
3t + 1560 = 7t
7t-3t = 1560
4t = 1560
t = 1560/4
t = 390
fill in the blanks.
1.
principal: $500
rate: 4.5%
time: ? years
interest earned: $112.50
new balance: ?
2.
principal: ?
rate: 8%
time: 2 years
interest earned: $108.00
new balance: ?
Answer:
One way of awarding interest is called simple interest. Before we provide the formula used in calculating simple interest, let’s first define some basic terms.
Balance. The balance is the current amount in an account or the current amount owed on a loan.
Principal. The principal is the initial amount invested or borrowed.
Rate. This is the interest rate, usually given as a percent per year.
Time. This is the time duration of the loan or investment. If the interest rate is per year, then the time must be measured in years.
To calculate the simple interest on an account or loan, use the following formula.
Simple Interest
Simple interest is calculated with the formula
I=Prt,
where I is the interest, P is the principal, r is the interest rate, and t is the time.
Step-by-step explanation:
One way of awarding interest is called simple interest. Before we provide the formula used in calculating simple interest, let’s first define some basic terms.
Balance. The balance is the current amount in an account or the current amount owed on a loan.
Principal. The principal is the initial amount invested or borrowed.
Rate. This is the interest rate, usually given as a percent per year.
Time. This is the time duration of the loan or investment. If the interest rate is per year, then the time must be measured in years.
To calculate the simple interest on an account or loan, use the following formula.
Simple Interest
Simple interest is calculated with the formula
I=Prt,
where I is the interest, P is the principal, r is the interest rate, and t is the time.
What is 3(3t-4)-(2t+10)
plz help
Answer: 7t-22
Step-by-step explanation:
Did this question in my notes lol
If the sides of a triangle have the following lengths, find a range of possible values for x.
LM = 6x + 3, MN = 4x - 17, LN = x + 40
Answer:
The range of possible values of x are;
x > 6
Step-by-step explanation:
To form a triangle, the length of two sides must be greater than the third side
Thus;
6x + 3 + 4x-17 > x + 40
6x + 4x-14 > x + 40
10x-14 > x + 40
10x-x > 40 + 14
9x > 54
x > 54/9
x > 6
Stephanie has the same number of dimes and nickels. She has $6.10 in all. Write an equation that you could use to find the number of dimes and nickels Stephanie has.
Answer:
The equation is
15x = 610
Step-by-step explanation:
A dime is 10 cents while a nickel is 5 cents
$6.10 is same as 610 cents
Let the number of dimes and number of nickels be x
10x + 5x = 610
15x = 610
A rate in which the second quantity in the comparison is one unitis known as a ______________________.
Answer:
Unit rate
Step-by-step explanation:
help asap will make brainlest
Answer:
C
Step-by-step explanation:
Slope of first equation: -1/2; y-int: -1
Slope of second equation: 1/4; y-int: -4
Answer:
C:
y= -1/2x -1
y= 1/4x -4
Step-by-step explanation:
Quick maths
The mean weight of the domesticated house cat is 9.2 pounds with a standard deviation of 3.4 pounds. If a cat has a z-score of -1.3 for its weight, how much does it weigh? Write your answer as a complete sentence.
Answer:
4.78 pounds
Step-by-step explanation:
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 9.2 pound
σ is the population standard deviation = 3.4 pounds
z = 1.3
We are to find x
Hence,
-1.3 = x - 9.2/3.4
Cross Multiply
-1.3 × 3.4 = x - 9.2
-4.42 = x - 9.2
x = -4.42 + 9.2
x = 4.78 pounds.
Therefore the weight of the cat is 4.78 pounds
I’ll mark you brainlist
Answer:
negative
Step-by-step explanation:
Answer:
Negative
Step-by-step explanation:
The line is going down, which means that it is decreasing...which makes it negative.
Hope this helps! :)
Which of these pizza slices gives the best
value (the most pizza per dollar spent)?
A. a slice with a radius of 12 inches. central angle of 30 degrees, and a
cost of $3 per slice
B. a slice with a radius of 8 inches. central angle of 45 degrees. and a
cost of $2 per slice
C. a slice with a radius of 6 inches. central angle of 60 degrees, and a
cost of $2 per slice
D. a slice with a radius of 6 inches, central angle of 45 degrees, and a
cost of $1 per slice
Answer:
B. a slice with a radius of 8 inches. central angle of 45 degrees. and a
cost of $2 per slice
Step-by-step explanation:
brainest plz
Option B gives the best value.
What is a circle?
'A circle is a shape consisting of all points in a plane that are at a given distance from a given point which is the center.'
According to the given problem,
Radius = 8 inches
Diameter = 16 inches
Considering a pizza is a circle and the area of a circle increases with the square of the radius.
However 45 degrees being less inclined than 30 degrees.
Hence, a slice with a radius of 8 inches, central angle of 45 degrees gives the best value for $ 2 per slice.
Learn more about circles here: https://brainly.com/question/15099709
#SPJ2
Greg buys 2 puzzles from a garage sale. Each puzzle costs $4. Which graph
could show the coordinates of the point that represents the number of puzz
that Greg buys and the total cost?
Answer:
bottom right
Step-by-step explanation:
for the side that says total cost u go up to 4 and for the one that says number of puzzles u go two over
On a computer screen, PLS HELP ASAP!!!!!!!!!!!!
Jennifer just created a triangular design of a banner with vertices at A(-4,3), B(-1,5) and C(-1,2). She can use the computer software to perform transformations on this design.
Which sequence of two transformations could she perform so that the transformed vertices become A’ (4,-5) , B’(7,-7), and C’(7,-4) ?
Answer: D
Step-by-step explanation: reflecting about the line y=-1, followers by translating 8 units to the right
In the slope-intercept form, which variable
represents the slope/measure of change?
Pleases help thank you
Answer:
my bad
The correct answer is C
Step-by-step explanation:
hopr it helps
have a great day
:)
In training for a swim meet, Logan swam 750 meters in \large \frac {1}{3} 3 1 of an hour. His swimming partner, Mila, swam \frac {2}{3} 3 2 of Logan's distance in \frac {1}{4} 4 1 of an hour. what is milas average speed
Answer:
2 km/hr
Step-by-step explanation:
Distance traveled by Logan = 750 m = 0.75 km = [tex]\frac{3}{4}\ km[/tex]
Time taken by Logan = [tex]\frac{1}{3}\ hours[/tex]
To calculate the speed using time and distance, following formula is used:
[tex]\text{Average Speed =} \dfrac{\text{Total Distance}}{\text{Total Time}}[/tex]
Speed of Logan :
[tex]\dfrac{\frac{3}{4}}{\frac{1}{3}}\\\Rightarrow \dfrac{9}4\ km/hr[/tex]
Distance traveled by Mila = [tex]\frac{2}{3}[/tex] of Logan's distance:
[tex]\frac{2}{3}\times \frac{3}{4} = \frac{1}{2}\ km[/tex]
Time taken by Mila = [tex]\frac{1}{4}\ hr[/tex]
As per formula above:
Average Speed of Mila is given as:
[tex]\dfrac{\frac{1}{2}}{\frac{1}{4}}\\\Rightarrow \dfrac{4}{2}\\\Rightarrow \bold{2 km/hr}[/tex]
Water is filling a ditch at a rate of 2 gallons per minute. Complete the table of equivalent ratios for the first 5 minutes of the ditch filling up.
Answer:
2 4 6 8 10
1 2 3 4 5
Step-by-step explanation:So if it's filling up 2 gallons per minute then you would multiply 2x2=4 3x2=6 4x2=8 and 5x2=10. So you would multiply every minute by 2.
What is 3 /49 as a decimal?
Answer: 3/49 as a decimal is 0.06122
Sam is interested in buying a TV. At Walmart, the TV is regularly prices at $599.99 and is on sale for 20% off the regular price. At Best Buy, the same TV is regularly prices at $899.99 and is on sale for 30%off the regular price.
What is the difference in the sale price of the TV between these two stores?
Show your work.
Answer:
If 30% of 599.99 is 197.99 and 30% of 899.99 is 269.99 then you subtract 269.99-197.99= $72
Step-by-step explanation:
Hope this helped you!! Give brainliest.
Decrease £2123 by 8%
In triangle JKL what is the value of x° if JK = KL
A) 38°
B) 60°
C) 69°
D) 71°
Answer:
A: 38º
Step-by-step explanation:
Triangle JKL is an isosceles triangle as JK=KL:
That means ∠J=∠L=71ºThe sum of a triangle's interior angles is 180º, so ∠K=180º-∠J-∠L. We know ∠J=∠L=71º, so ∠K=180º-71º-71º=38.Damian wrote the number five and thirty-eight thousandths as 5.38. Was he correct or not? if so, what was the error
Answer:
he is incorrect.
Step-by-step explanation:
It would be 5 and 38 HUNDRETHS because the first number after the decimal is the tenths.
Xander ordered a pizza with 8 equal slices as shown in the image below.
Assi
Hapo
Thes
Ito see all
ared
If Xander ate 6 slices of pizza, what percentage of the pizza did he eat?
A cell phone tower casts a 100 foot shadow.At the same time, a 4 ft 6 inch post near the tower casts a shadow of 3 ft 4 inches. What is the height of the tower? Please help I need an answer ASAP
Answer:
https://brainly.com/question/11428290
Step-by-step explanation:
You can go to this webpage and see if you find what you are looking for. :)
250 ft.
3ft 4in = 4ft 6in - 1ft 2in.
i dunno how to explain it any better. lol sorry.
PLEASE HELP
The question is in the picture so this is just filler text but please help me ASAP
A business trip will be reimbursed $0.55 per mile. Mr. Jackson has a budget of $70 for the round trip. If he is traveling to a town 61 miles away, then will he be under or over? Prove your thinking.
Answer:
We know Mr. Jackson will have to pay 0.55 dollars per mile and that he's traveling 61 miles, so, if we want to know. how much will he pay, we can multiply the quantity of miles (61) per the cost of these:
0.55 * 61 = 33.55
So we know he will have to pay 33.55 dollars, and, as the travel is round, considering he will travell the same quantity of miles, he will pay twice
33.55 * 2 = $67.10
He has more budget than the needed for the travel
Answer:
Mr. Jackson will be under his budget.
Step-by-step explanation:
We know that Mr. Jackson has a budget of only $70 for the trip. We know that the trip will be reimbursed $0.55 per mile. Mr. Jackson is traveling 61 miles. Therefore, we need to multiply $0.55 by 61.
61 x 0.55 = $35.55
Since $35.55 is less than $70, he will be under his budget.
Hope this helps! :D
Patrick spent 8 minutes on the phone while routing 2 phone calls. If he routes 4 phone calls, how much time will Patrick have spent on the phone in total? Assume the relationship is directly proportional.
? minutes
Answer:
16
Step-by-step explanation:
8 divided by 2= 4
4 multiplied by 4= 16
Answer:
16
Step-by-step explanation:
the bottom of a 15 foot ladder is placed 3 feet back from the wall. How far up the wall will the top of the ladder reach? ( round to 1 decimal place.
a) 15 feet
b) 18 feet
c) 14.7 feet
d) 15.3 feet
Answer:
It’s c
Step-by-step explanation:
It’s simple
f(x)=4x+2 and g(x)=4(x−9)+2.
What transformation occurs from function f to function g?
Answer:
horizontal translation of 9 units right and 2 units up
Step-by-step explanation:
I think this is right.
my teacher didn't explain well so I need help
Mr. Patel bought his 3 friends Casio G-Shock watches for Christmas. The retail price for each watch on Amazon was $39.91. How much did he pay for all 3 watches, excluding tax?
Answer:
Mr. Patio paid $312.00 for the three watches
Step-by-step explanation:
The price of one of the Casio G-Shock watches that Mr. Patel bought his 3 friends for Christmas is $39.91.
For Mr. Patio to have bought this watch for each of his 3 friends, we have that the cost will be multiplied by three. He is spending three times the amount he would have spent if he is buying for only a single person.
Cost = 39.91 X 3 =$312.00
Mr. Patio paid $312.00 for the three watches
You are going to make three shelves for your father and have one piece of lumber 20 feet long. Your plan is to make the top shelf half a foot shorter than the middle shelf and to have the bottom shelf half a foot shorter than twice the length of the top shelf. How long is each shelf? t= length of the top shelf t=m-1/2 m = length of middle shelf b = length of bottom shelf. B=2t-1/2 t+m+b=20
Answer:
The top shelf is 5 feet, the middle shelf is 5.5 feet and the bottom shelf is 9.5 feet
Step-by-step explanation:
Let t= length of the top shelf, m = length of middle shelf and b = length of bottom shelf.
Therefore:
t = m - 1/2; m = t + 1/2
Also, b = 2t - 1/2
The total of the three shelves is 20 feet, therefore:
t + m + b = 20
Substituting:
t + t + 1/2 + 2t - 1/2 = 20
4t = 20
t = 20/4
t = 5 feet
m = t + 1/2 = 5 + 1/2 = 5.5 feet
b = 2t - 1/2 = 2(5) - 1/2 = 9.5 feet
The top shelf is 5 feet, the middle shelf is 5.5 feet and the bottom shelf is 9.5 feet
