Cecilia has $780 in an account earning 5.2% simple interest. How much more interest would her account earn in 6 years with annually-compounded interest?
Answer:
$1057.3
Step-by-step explanation:
First we'll find the Interest no. 1, which is simple interest, assuming the time 1 year:
S.I= PRT/100
S.I= 780*5.2*1/100
S.I=$40.56
Now we'll find interest no.2, which is compound interest, time is 6 years, Principal amount (780) will remain the same as well as the rate thus (putting in the formula of compound interest- annual- [tex]A=P(1+\frac{R}{100} )^t[/tex]):
[tex]A= 780(1+\frac{5.2}{100})^6[/tex]
A= $1057.3
Subtract -3k from -2k
Answer:
k
Step-by-step explanation:
-3k minus -3k
-2k-(-3k)
-2k+3k
k
Given ABC, what is the value of x?
NEED HELP QUICK!!
Answer:
x = 49
Step-by-step explanation:
AD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides , that is
[tex]\frac{28}{x}[/tex] = [tex]\frac{8}{14}[/tex] ( cross- multiply )
8x = 392 ( divide both sides by 8 )
x = 49
Given a function f(x)=|x+1|-|x -2|
How many solutions has f(x) = a, in respect of a?
If a E {-3, 3}, number of solutions is
if a E (-3, 3) number of solutions is
if a E (-infinity, -3) U (3,infinity) number of solutions is
Answer:
Step-by-step explanation:
[tex]f(x)=/x+1/-/x-2/\\a=/x+1/-/x-2/\\\text{square both sides}\\a^{2}={(x+1)}^{2}+{(x-2)}^{2}-2(x+1)(x-2)\\a^{2}=x^{2}+2x+1+x^{2}-4x+4-2x^{2}+2x+4\\a^{2}=9\\a=\sqrt{9}\\a=+3\text{ or }-3[/tex]
[tex]\text{if }a \in \{-3, 3\},\text{the number of solutions is 2}[/tex]
[tex]\text{if }a \in \{-\infty, -3\}\bigcup\{\infty, 3\},\text{it is just like saying from infinity to infinity, which is still 2}[/tex]
Answer:
a=(x+1)-(x-2)
=x-x+1+2
a=3
6 The floor of a tent is 7 feet by 9 feet. What is the area of the tent floor?
Pls help
You are sailing your boat in the Chesapeake Bay to Thomas Point Lighthouse. You see a weather buoy, and you
discover that your boat, the buoy, and Thomas
Point form a right angle using your navigational skills.
What is the value of x?
- 20 km
- 8 km
- 12 km
- 17.3 km
Answer:
Answer of this question is 8km
On January 1, one share of stock in the LMNOP Corp was worth $85. By
December, it lost 11.6% of its value. What is the new value of one share of LMNOP
stock?
Answer:
$75.14
Step-by-step explanation:
The new value of one share of LMNOP stock after 11.6% increment is $75.14
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, we are given that:
Initial price of the stock = $85/shareFinal price of the stock in December = initial price - 11.6% of initial price (since it lost 11.6% of its initial value, so decrement, which is denoted by subtraction).Now, the 11.6% of initial price is:
[tex]\dfrac{85}{100} \times 11.6 = \$9.86[/tex]
Thus, the final price of the stock in December = $85 - $9.86 = $75.14
Learn more about percent here:
https://brainly.com/question/11549320
Find the length and width of a rectangle with an area of 2x + x - 3.
A. l = 2x + 3; w = x + 1
B. l = 2x + 3; w = x - 1
C. l = 3x + 2; w = x - 1
Answer:
the answer would be B: l = 2x + 3; w = x - 1
7. Jerry has 23 coins in nickels, n, and dimes, d. He
has $1.95 altogether. How many nickels does Jerry
have?
Answer:
17 nickles !
Step-by-step explanation:
First, identify the variables:
n = amount of nickels
d = amount of dimes
Next, setup the equations based on what you know. The first equation is:
n + d = 28
For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:
0.05n + 0.10d = 1.95
This a three-step answer:
In one formula (you can use any of them; most people use the simplest one), single out the variable on one side
Apply the first formula into the second formula, and solve it to get the value of one variable
Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable
======
Step One:
n + d = 28
n + d - d = 28 - d
n = 28 - d
Step Two:
0.05n + 0.10d = 1.95
(0.05 * (28 - d)) + 0.10d = 1.95
1.40 - 0.05d + 0.10d = 1.95
1.40 + 0.05d = 1.95
1.40 - 1.40 + 0.05d = 1.95 - 1.40
0.05d = 0.55
d = 11
Step Three:
n = 28 - d
n = 28 - 11
n = 17
======
Your answer should be 17 nickels and 11 dimes.
You can double check by applying the variables into both formulas.
n + d = 28
17 + 11 = 28
28 = 28
0.05n + 0.10d = 1.95
(0.05 * 17) + (0.10 * 11) = 1.95
0.85 + 1.10 = 1.95
1.95 = 1.95
I hope this helped.
Find the perimeter of a triangle with side lengths of 3x, x + 2, and x – 4.
Answer:
5x-2
Step-by-step explanation:
(3x)+(x+2)+(x-4)= 5x-2
. An artist's studio has the shape shown below. What
is the area of the entire floor space?
20 ft
12 ft
6 ft
6 ft
14 ft
Answer: 120960 ft.
Step-by-step explanation:
how many hours and still elapsed from 0740 hrs to 1135 hrs.?
Answer:
3 hours and 55 minutes
Step-by-step explanation:
PLS HELP ME ITS MULTIPLE CHOICE
Answer:
8
Step-by-step explanation:
can i have brainliest
Help! I'll give 30 points!!!!!!
Answer:
D
Step-by-step explanation:
The plotted points do not follow a general direction and therefore have no correlation
help pleaseeee!!!!!!!!!!!
Pls help if you can Thx!
Answer:
The Answer Is E!
Step-by-step explanation:
To solve this equation., you have to try every solution and the only one that perfectly completes both statements is answer E.
We subtract the $1.15 from $2.10 if this is the price of one taco, leaving the price of a small cup of coffees price ($2.10-$1.15=$0.95 for a small cup of coffee
To check it fits both statements, we multiply the price of one coffee by 3 ()$0.95×3=$2.85 for three small coffees\
Next, we multiply $1.15 (one taco) by 2 to fill in the expression ($1.15×2=$2.30)
Finally, we add both the prices of the 3 coffees and two tacos which adds up to a perfect $5.15, justifying the answer
Round each fraction to the nearest half and find the estimate. 2/6 + 1/6 one half 1 one and one half 2
Answer:
one half
Step-by-step explanation:
Given the expression
2/6 + 1/6
Find the LCM
[tex]= \dfrac{2+1}{6} \\= \dfrac{3}{6} \\= \dfrac{3*1}{3*2}\\= \dfrac{3}{3} * \dfrac{1}{2} \\= 1 * \dfrac{1}{2}\\= \dfrac{1}{2}[/tex]
Hence the required result is one half
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Xochitl sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
313 visitors purchased no costume.
32 visitors purchased exactly one costume.
23 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase exactly one costume as a decimal to the nearest hundredth.
Answer: 0.09
Step-by-step explanation:
;)
Use an area model to multiply (x+5)^2. Write your answer as a sum.
Not the link and if you dont answer, james charles will kiss you in the bed tonight.
2 (3m+6) what is the answer?
Answer:
hi
Step-by-step explanation:
2(3m+6)=2×3m+2×6=6m+12
have a nice day
I’ll give you Brainly est
Answer:
Step-by-step explanation:
A ton is 2000 lbs -> w = 2000
Weight in an elevator must be less than 2000 -> w<2000
The pool must hold atleast 2000 lbs w >= 2000 (>= is greater than equal to)
The scale...... -> w<= 2000
My car weighs more than 2000 -> w > 2000
Answer:
1.w<2000
2.w=2000
3.w> or =2000
4.w< or =2000
5.w>2000
Step-by-step explanation:
Please i need help with this one
Answer:
center: (1,4)
radius=3
Classify the triangle based on its angles
Answer:
Right-angled triangle
Step-by-step explanation:
It has a square angle, meaning it is a right angle, which is [tex]90^{o}[/tex], making it a right angled triangle
In ΔEFG, the measure of ∠G=90°, GE = 40 feet, and EF = 44 feet. Find the measure of ∠F to the nearest degree.
Answer:
42°
Step-by-step explanation:
It is always good to draw a picture to help you. In this case
tan F = 40/44
m∠F = arctan (40/44) = 42°
3. Bacteria can multiply at an alarming rate when each
bacteria splits into two new cells, doubling. If we start
with only 3 bacteria which can double every hour, how
many bacteria will we have by half the day?
Answer:
hmmm.
Step-by-step explanation:
times it by 12,000
like 12,000 being half a day
hahaha I dont know
What is the sum of the interior angles of the polygon pictured below?
Answer:
720°
Step-by-step explanation:
Formula for sum of interior angles:
(n - 2) x 180
(6 - 2) x 180
4 x 180
720
A square has an area of 200 square feet. How long is each side in simplest radical form? If I increase the length of each side by 2, what is the new area in simplest radical form?
Answer:
a) 14.14 feet
b) 260.5 square feet
Step-by-step explanation:
A square has an area of 200 square feet.
a) How long is each side in simplest radical form?
Area of a square = (side length)²
Side length = √Area
Side length = √200 square feet
= 14.142135624 feet
≈ 14.14 feet
b) If I increase the length of each side by 2, what is the new area in simplest radical form?
= 14.14 feet + 2
= 16.14 feet
New area = (16.14 feet)²
= 260.4996 square feet
Approximately = 260.5 square feet
All sides of ∆ABC are tangent to circle P.
What is the perimeter of triangle ABC?
Answer:
[tex]Perimeter =58[/tex]
Step-by-step explanation:
Given
[tex]AB = 24[/tex]
See attachment
Required
The perimeter of ABC
First, calculate the lengths of AC and BC.
From the attachment.
[tex]Ax = Az =10[/tex]
[tex]Cx = Cy = 5[/tex]
[tex]By =Bz[/tex]
So, we have:
[tex]AC = 10 + Cx[/tex]
[tex]AC = 10 + 5[/tex]
[tex]AC = 15[/tex]
Also:
[tex]Az + Bz = AB[/tex]
[tex]Az + Bz = 24[/tex]
Recall that: [tex]Ax = Az =10[/tex]
So:
[tex]10 + Bz = 24[/tex]
[tex]Bz = 24 - 10[/tex]
[tex]Bz = 14[/tex]
So, we have:
[tex]By = Bz = 14[/tex]
To calculate BC, we have:
[tex]BC = 5 + By[/tex]
[tex]BC=5+14[/tex]
[tex]BC = 19[/tex]
The perimeter is then calculated as:
[tex]Perimeter = AB + BC + AC[/tex]
[tex]Perimeter = 24 + 19 + 15[/tex]
[tex]Perimeter = 58[/tex]
The Amtrak Train is traveling at a constant speed and travels 12.5 miles in 5 minutes.
At that rate, how far does the train travel in 1 min?
Answer:
2.5 mi/min => 2.5 mi in 1 minute
Step-by-step explanation:
The unit rate (speed) is
12.5 mi
------------- = 2.5 mi/min
5 min
Can Someone help me with this problem?
Answer:
6x + 6
Step-by-step explanation:
Perimeter is the total measurement of all the sides
16x + 12 = (6x + 14) + (4x - 8) + (?)
16x + 12 = 10x + 6 + ?
6x + 6 = ?