Given:
Principal value = $640
Rate of interest = 3.9% not compounded
Number of years = 8
To find:
The amount after 8 years.
Solution:
It is given that the interest is not compounded. It means, we need to find simple interest.
Formula for simple interest:
[tex]I=P\times r\times t[/tex]
where, P is principal, r is rate of interest and t is time in years.
Put P=640, r=0.039 and t=8.
[tex]I=640\times 0.039\times 8[/tex]
[tex]I=199.68[/tex]
So, the interest is $199.68.
Now, amount after 8 years is
[tex]A=P+I[/tex]
where, P is principal and I is interest.
[tex]A=640+199.68[/tex]
[tex]A=839.68[/tex]
Therefore, the amount after 8 years is $839.68.
Swanton Savings Bank pays 5.5% interest compounded quarterly on a regular savings account. John deposited $4400 in regular savings accounts for 1.5 years. How much interest did he earn?
Answer:
$375.71
Step-by-step explanation:
Given that:
Rate of interest = 5.5% compounded quarterly
Time = 1.5 years
Principal amount deposited in savings account = 1.5 years
To find:
Interest earned = ?
Solution:
Formula for amount with interest compounding quarterly:
[tex]A = P(1+\dfrac{r}{4\times 100})^{4t}[/tex]
Putting the values:
[tex]A = 4400(1+\dfrac{5.5}{4\times 100})^{4\times 1.5}\\\Rightarrow 4400\times 1.01375^6\\\Rightarrow 4400\times 1.085\\\Rightarrow \$ \bold{4775.71}[/tex]
Interest earned = Amount - Principal
Interest earned = 4775.70 - 4400 = $375.71
Rectangle A measures 10 inches by 8 inches. Rectangle B is an enlarged copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.
Answer:
See Explanation
Step-by-step explanation:
Given
Rectangle A:
[tex]Length: 10\ in[/tex]
[tex]Width: 8\ in[/tex]
Required
Determine the possible dimensions of Rectangle B
The question has missing options; however, the question can still be solved.
Rectangle B being an enlarged copy of A implies that the dimension of A A is enlarged in equal proportion to form B
Take for instance, the measurements of Rectangle B are
[tex]Length: 15 in[/tex]
[tex]Width: 12 in[/tex]
Divide the corresponding lengths of B by A to get the enlargement ratio
[tex]Ratio = \frac{B}{A}[/tex]
For length:
[tex]Ratio = \frac{15}{10}[/tex]
[tex]Ratio = 1.5[/tex]
For width
[tex]Ratio = \frac{12}{8}[/tex]
[tex]Ratio = 1.5[/tex]
Notice that both ratios are the same.
For this measurement of B, we can conclude that B is an enlargement of A
Assume another measurements for B
[tex]Length: 20\ in[/tex]
[tex]Width: 10\ in[/tex]
Calculate Ratios
[tex]Ratio = \frac{B}{A}[/tex]
For length:
[tex]Ratio = \frac{20}{10}[/tex]
[tex]Ratio = 2[/tex]
For width
[tex]Ratio = \frac{10}{8}[/tex]
[tex]Ratio = 1.25[/tex]
Notice that, both ratios are not equal.
For this measurement of B, we can conclude that B is not an enlargement of A
Conclusively, all you have to do is: determine the ratios of the dimensions of B to A, if the result are equal then B is an enlarged copy of A; if otherwise, then B is not an enlarged copy
I will give brailiest to whoever needs it!
Answer:
me please
Step-by-step explanation:
Answer:
idc if i get it
Step-by-step explanation:
CAN SOMEONE HELP THIS IS DUE
Hicham El Guerrouj of Morocco set a world record by running 1 mile in 3 minutes, 43.13 seconds on July 7, 1999. What was his time in miles per hour?
Answer:
His time in mph is 16.1 mph
A tiny aeroplane accelerates at 35 m/s2 with a force of 20 N. What is the mass of the aeroplane?
Answer:
17/2
Step-by-step explanation:
COULD I PLS GET HELP WILL GIVE BRAINLIEST IF POSSIBLE
Answer:1. f(x) is translated 15 units to the left 2. f(x) is vertically stretched
Step-by-step explanation:
I took this class last year
Answer:
f(x) is translated 15 units to the left 2. f(x) is vertically stretched
Step-by-step explanation:
Graph the line
y=-2x=2
please hurry!
Answer:
-1,0
0,-2
slope is -2/1
Answer:
View the Screenshot that I have sent.
I need help with #22 & 23 ASAP!!!!please explain so I can understand
Answer:
22.) y = -1/7x + 8/7 23.) y = 2x -3 (x is the slope.)
Step-by-step explanation
22.) Divided each side by 7. Subtract 1/7x from each side to get the eqaution.
23.) Divided each side by 3. Add y to each side. then subtract 9 from each side to get the equation.
1) 23= -7 - 4m + 9 + m
7) Norachai spent $13 on a magazine and some erasers. If the
magazine cost $4 and each eraser cost $3 then how many erasers did
he buy?
Answer:
3
Step-by-step explanation:
Magazine $4
13-4=9
9/3=3
a company employees 100 people, 65 of whom are men. 60 people, including all the women, are paid weekly. how many of the men are paid weekly
Answer:
25 men
Step-by-step explanation:
100 - 65 = 35 women
60 - 35 = 25 men
Answer: 25
Step-by-step explanation:
Amount of ppl: 100
Men: 65
Woman: (100-65) =35
People paid (all woman are in this group) 60
Woman paid: 35
Men paid: (60-35) =25
Aaron is bicycling on a bike trail at an average of 10 miles per hour. Jada starts cycling on the same trail 30 minutes later. If Jada averages 16 miles per hour, how long would it take her to pass Aaron?
Answer:
36 miles per hour
Step-by-step explanation:
36 miles per hour
Prove that sin(x) + tan(x) = 1 + sec(x)/csc(x) by using trigonometric identities.
Answer:
Step-by-step explanation:
sin(x) + tan(x) =sin(X) + sin(x)/cos(x)
=sinx(1+1/cosx)
=Sinx(1+secx)
=1+secx/cosecx. (Since sinx=1/cosecx)
Hence LHS=RHS proved
Label the number that is on the numberline
Answer:
0.4
Step-by-step explanation:
Since there are 5 spaces between the 1 and 0, each tick represents [tex]\frac{1}{5}[/tex] or 0.2 units. Counting up from 0 you get 0.4
Answer:
0.4Step-by-step explanation:
1 divide by the number of lines: 1 / 5 = 0.20.2 multiply by the number of lines where the arrow is pointing at0.20 x 2 = 0.4
therefore, the answer is 0.4
Help find domain and range
If there are 63 butterflies in 3 gardens, how many butterflies are in 2 gardens?
Answer:
42
Step-by-step explanation:
63 divided by 3 first because you need to break each group down into equal gardens with the same amount of butterflies.
now you have 21 you need to multiply with the number 2 because you need to know how many butterflies are in two gardens
and now you get 42
The price of an item yesterday was $180. Today, the price rose to $279. Find the percentage increase.
HELPPP
PLEASSE
DONT SWIPE PAST:,(
I SAW THATTT
My b for accusing you:,)
Step-by-step explanation:
Percentage increase = (279 - 180)/180 x 100% = 55%
this is a topic on percentage. the above question requires a use of a kind of formula if you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I've already posted some notes on this topic and will be doing more on others and also I'll be providing tips on some topics as well!
Answer:
55% increase
Step-by-step explanation:
First I want to say I recommend using sites like Calculator soup, and finding the option "percent increase calculator", for problems like these instead of wasting any points that you could use later on, and Secondly (happy to help), oof and third:
1) subtract the final value minus the starting value
279 - 180= 99
2) Divide that amount by the absolute value of the starting value
99 divided by 180 equals .55
3) Multiply by 100 to get percent increase
changes to 55.00 (final answer 55%)
4) If the percentage is negative, it means there was a decrease and not an increase.
Percentage Increase Formula
Which equation or inequality represents the following description?
Multiply the quantity 2 more than a number by 8. The result is at least 12 times the number subtracted from 76.
A. 8(2n) 76-12n
D. 8(2n)=76-12n
Answer:
D
Step-by-step explanation:
I’ve been working on the same problem for 1 hour and d just makes the most sense
tony is making gift bags for his friends. he has 6 bags and places 9 gifts into each bag .how many gifts did he place in the bags
Answer:
6 x 9 is 54
Step-by-step explanation:
54 bags because, it says each so your multiplying.
is 6.610
irrational number?
Answer:
yes
Step-by-step explanation:
An
Step-by-step explanation:
1) Dave is 9 years older than his brother.
Dave is also 9 years younger than twice
his brother's Ige. How old is each?
Answer:
Dave is 27. His brother is 18.
Step-by-step explanation:
Dave is 9 years older than his brother, so if his brother is 18, he is 27. If you doubled the brother's age (18) you would get 36. Then you subtract 36 by 9 and get 27. <3
PLEASE HELP WILL GIVE BRAINLIEST!!!!! ASAP
GEOMETRY picture of problem below!!!!
Answer:
12
Step-by-step explanation:
X x Y =20 So 12 Then 12 - 12 + 12 = 12
What is the value of x?
A full grown German Shepherd weighs about 35 kg on Earth and only 13.3 kg on Mars. How much would a German Shepherd puppy weigh on Earth if it was 1.9 kg on Mars
Answer:
Step-by-step explanation:5 pounds
35/13.3=2.63. 1.9x2.63=5kg
Which situation could be represented by the equation
15.5 = ?
A. Julie drove 15.5 miles to the grocery store. Her mother drove from the grocery store back home. What is x, the amount
miles each person drove?
B. Julie drove 15.5 miles from her home to the grocery store. Julie drives the same path going back home. What is x, the total
amount of miles traveled to the grocery store and back home?
C. It is 15.5 miles to the grocery store from Julie's home. On the way to the store, she decided to take a detour which
shortened her distance by half a mile. What is x, the new distance to the grocery store including the detour?
D. Julie went to a grocery store 15.5 miles away. Amanda also went to a grocery store 15.5 miles away. The grocery store was
half way in between their houses. What is x, the distance from Julie's home to the grocery store?
ASAP 30 points and brainliest for best answer
30 POINTS What is the answer????
Answer:
Step-by-step explanation:
the third i think
Can someone please explain to me how I got this wrong? The other options in the image are the ones under the questions and I'm rlly confused. Could anyone fully explain it please?
Answer: [tex]-\frac{p}{8}[/tex]
This is the fraction -p/8
====================================================
Explanation:
When we divide by -16, we're really multiplying by -1/16. Fractions and division are very similar ideas.
So we can say,
[tex]2p \div -16 = 2p \times \frac{-1}{16}\\\\2p \div -16 = \frac{2p}{1} \times \frac{-1}{16}\\\\2p \div -16 = \frac{2p(-1)}{1*16}\\\\2p \div -16 = \frac{-2p}{16}\\\\2p \div -16 = \frac{-2p}{2*8}\\\\2p \div -16 = -\frac{p}{8}\\\\[/tex]
The second to last step has a pair of '2's divide and cancel out.
-------------
Another way to think of it is to consider
[tex]\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}[/tex]
The flip from division to multiplication has us apply the reciprocal of the second fraction. In this problem, we have a = 2p, b = 1, c = -16 and d = 1. The steps will be very similar if not identical to what is shown above.
PLEASE HELP!! 15 POINTS FOR THE CORRECT ANSWER (NOT POINT D)
Answer:
I do not see any question and we only get 5 points.
Step-by-step explanation:
d) A company increased the monthly salary of its employees by 20%. If an employee
gets Rs 6000 now, find his previous salary.
Solve - 2x - 7 > 5x + 14.
O A. x < -3
B. X > -3
C
C. x < -5
D. I > -5
please help
Answer:
hope this is not to hard to understand
Answer: Thanks for the points
Step-by-step explanation: