Joseph invested $6,700 in an account paying an interest rate of 5.2% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $13,950?
Answer:
Step-by-step explanation:
A=P(1+r/c)^(ct), where a is final value, P is the initial value or principle, r is the interest rate, and c is the number of compounding periods in a year.
ln(A/P)/ln(1+r/c)=ct so
t =(ln(A/P)/(cln(1+r/c)), given A=13950, P=6700, r=0.052, c=4
t=(ln(13950/6700))/(4ln(1.013))
t=14 years
Answer:
14
Step-by-step explanation:
find the 8th term of the geometric sequence 3,9,27
Answer:
6,561
Step-by-step explanation:
multiply 3 by the last number, like 3*3 is 9 then 9*3 is 27*3 is 81 then 81*3 243 and so until it reaches 8 time
EFG, e = 9.8 cm, f = 3 cm and ∠G=167°. Find the length of g, to the nearest 10th of a centimeter.
Answer:
Step-by-step explanation:
Answer:12.7
Step-by-step explanation:
what the word form of 500.2
Answer:
How to Write Out USD 500.2 Dollars in Words: five hundred dollars and twenty cents.
I count on the best
Using the table below, determine how much you will receive in dividends for the year from Cisco Systems given that you currently hold 100 shares.
The amount you will receive in dividends for the year from Cisco Systems given that you currently hold 100 shares is:$15.
DividendUsing this formula
Amount=Dividend (Div)×Number of shares
Where:
Dividend=0.15
Number of shares=100
Let plug in the formula
Amount=0.15×100
Amount=$15
Therefore the amount you will receive in dividends for the year from Cisco Systems given that you currently hold 100 shares is: $15.
Learn more about dividend here:https://brainly.com/question/2960815
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HELP QUICK GIVING 25 POINTS, Also use distrib property!!
Evaluate f(x) ∙ g(x) by modeling or by using the distributive property.
f(x) = (−3x^2 + 2) and g(x) = (−2x^3 − 5x + 4)
Answer:
6x^5 + 11x^3 - 12x^2 - 10x + 8
Step-by-step explanation:
(-3x^2 + 2) x (-2x^3 - 5x + 4)
Ok, so we need to do an advanced version of FOIL. We need to multiply -3x^2 by the other three numbers, then the same with 2. Then we add up like terms.
-3x^2 x -2x^3 = 6x^5
-3x^2 x -5x = 15x^3
-3x^2 x 4 = -12x^2
Now to do 2 x -----.
2 x -2x^3 = -4x^3
2 x -5x = -10x
2 x 4 = 8
Last, but not least, we combine like terms.
6x^5 + 11x^3 - 12x^2 - 10x + 8
A- g(x)=|x+5|+5
B-g(x)=|x-5|+5
C-g(x)=|x|+5
D-g(x)=|x-5|
Answer:
if anything, I would say C. I can't see the image too clearly, but I can see what you typed out
Step-by-step explanation:
if 4 shirts and 3 ties cost 241. and 3 shirts and 4 ties cost 200. what is the cost of 1 shirt and 1 tie?
Answer:
cost of 1 tie = 11
cost of 1 shirt = 52
Step-by-step explanation:
If a cable repairman is supposed to show up to for a repair between 1:00pm and 6:00pm and the home owner can’t be homeuntil 3:00pm, what is the probability that the home owner will be home when the cable repair man shows up (assuming the repairman is equally likely to come at any time during the specified range)?
A) 60%
B) 65%
C) 70%
D) 75%
Answer:
60%
Step-by-step explanation:
3/5 likely, because there are five hours when the repairman could show up.
Three of them will have the homeowner, and 2 would not. 3/5=0.6=60%
Answer:
for da other guy to get brainliest
Step-by-step explanation:
Divide 110 between two friends so that one gets 16 more than the other. solve the equation
Answer:
47 and 63
Step-by-step explanation:
Let x be the number one friend gets.
This means the second friend will get x + 16
x + x + 16 = 110
2x + 16 = 110
2x = 94
x = 47
One friend gets 47, and the other gets 63
Which of the following graphs is the solution set of 2x+7>3?
PLS HELP WILL MARK BRAINLIEST
Answer:
B or the second line
Step-by-step explanation:
1/2x +7 > 3
-7. -7
1/2x > -4
you time 2 on both sides
x > -8
In need of help thanks
Step-by-step explanation:
x = 20
y = 25
z = 24
plz mark my answer as brainlist plzzzz vote me also.
hope this will be helpful to you .
Answer:
x = 20
y = 25
z = 24
Step-by-step explanation:
2y + 10 = 60
2y = 50
y = 25
2y + 10 = 3x
but y = 25
=> 50 + 10 = 3x
3x = 60
x = 20
5z + 3x = 180
but x = 20
5z + 60 = 180
5z = 120
z = 24
please give me brainlist if it is helpful for you
Terrell brought $5.00 to spend at the rink's concession stand. Hot dogs cost $0.65, French fries cost $0.80, nachos cost $1.25, and drinks cost $0.95. If Terrell buys French fries and a drink, what is the maximum number of hot dogs he can purchase?
Answer:
5 hotdogs
Step-by-step explanation:
Deduct the price of French fries + drink from the total amount of money he has.
5.00 - 0.80 - 0.95 = 3.25
Divide the amount of money left with the amount of money each hotdog cost.
3.25 ÷ 0.65 = 5
why is 6 divided by zero, zero and zero divided by six is undefined?
Answer:
See below.
Step-by-step explanation:
The reason a number divided by zero is undefined is as follows.
Every operation, addition, multiplication, subtraction, and division, is carried out between two numbers and must have a single correct answer.
For example 1 + 5 = 6. The only correct answer to 1 + 5 is 6. There is no other correct answer to that addition. The same is true of any multiplication, subtraction, or division. Another example: 8/2 = 4. No other correct solution exists to the division of 8 by 2 other than 4.
Division is defined in terms of multiplication.
The definition of dividing a number by another number is:
a divided by b equals c if and only if b * c = a.
For example, 10/5 = 2 if and only if 5 * 2 = 10. 5 * 2 does equal 10, so it is correct that 10/5 = 2.
Now let's try dividing by zero and see the problem that arises.
Let's try to divide 8 by 0.
8/0 =
Since we are not used to dividing by zero, we don't really know what the answer should be, but we can try different answers.
Let's say 8/0 = 8
Then by the definition of multiplication, we need 0 * 8 to equal 8, but we know that 0 * 8 = 0, so the answer of 8/0 cannot be 8. Let's try a different answer.
8/0 = 0, then we need 0 * 0 to equal 8, but 0 * 0 = 0, not 8, so 0 also does not work.
We can generalize and try
8/0 = k, but then that requires 0 * k to equal 8. Since multiplication by 0 always has a result of 0, there is no number k that will multiply by 0 and give 8. This means that a number divided by 0 cannot give a result.
Now let's try one more thing.
What about 0 divided by 0.
Let 0/0 = 1. Then 0 * 1 = 0. It seems to work, but here there is a different problem. We could also say that 0/0 = 2 since 0 * 2 = 0; 0/0 = 3 since 0 * 3 = 0, etc. and now 0/0 can equal every number. The result of a division must be a unique answer, not all numbers.
When we try to divide a non-zero number by 0, no number works in the definition of division, so dividing a non-zero number by 0 is undefined. When we try to divide 0 by 0, every number works. Since there is no unique solution, 0/0 is also undefined. Therefore, division by zero is undefined.
Now the last part of your question.
What about 0 divided by 6?
0/6 = 0 if and only if 6 * 0 = 0. Well, 0 * 6 does equal zero. There is no other number that you can use as the quotient of 0/6 and have the corresponding multiplication equal zero, so 0/6 is indeed 0, and that operation is defined.
0 divided by any number other than zero is a defined division and equals 0.
Conclusion:
(any number)/0 is undefined
0/(any number other than zero) is defined and equals zero
A positive - negative = what?
A positive - negative = either negative or positive
Step-by-step explanation:
HOPE IT HELPS YOU
Answer:
0
Step-by-step explanation:
+1-1=0 is that the theme of qustion .
Help anyone? Need it now.
Giving brainliest
Correct answer
Answer:
I think it is true
Step-by-step explanation:
If it is a loan
t must represent the loan meaning
t = 30
(i know it makes no sense it's how i thought hope this helped)
Answer:
True
Step-by-step explanation:
I think true because in an equation, t would represent the loan like it is in the picture.
hope this helps!!!!!!3(x - 5) = 15
Unknown variable
Answer: x = 20/3 = 6.667
Step-by-step explanation:
Solve : 3x-20 = 0
Add 20 to both sides of the equation :
3x = 20
Divide both sides of the equation by 3:
x = 20/3 = 6.667
Y varies inversely as the square of x. If y=10 and x=4, find x if y=8
Answer:
gmxgmxkydyoduryljfhlduñfixjcigtltgracjas por los puntos gigkckckxkjajguajajajjaa
Only one of the comparisons below is correct. Which is correct? What benchmark was used in your answer?
ANSWERS ARE:
2/3<1/2; I used 1/2 as a benchmark.
1/2=3/5; I used 1/4 as a benchmark.
2/3<9/10; I used 3/4 as a benchmark.
3/4<2/3; I used 1/2 as a benchmark.
Answer:
2/3<9/10; I used 3/4 as a benchmark.
Step-by-step explanation:
2/3<1/2; I used 1/2 as a benchmark.
2/3 = 0.(20/3) = 0.667
1/2 = 0.(10/2) = 0.5
So this is wrong, as 0.667 > 0.5.
1/2=3/5; I used 1/4 as a benchmark.
1/2 = 0.(10/2) = 0.5
3/5 = 0.(30/5) = 0.6
0.5 != 0.6, so this is wrong.
2/3<9/10; I used 3/4 as a benchmark.
2/3 = 0.(20/3) = 0.667
9/10 = 0.(90/10) = 0.9
So this is correct, as 0.667 < 0.9
3/4<2/3; I used 1/2 as a benchmark.
3/4 = 0.(30/4) = 0.75
2/3 = 0.(20/3) = 0.667
0.75 > 0.667, so this is wrong.
graph the linear equation y= -4/9x -4
Answer:
I used Desmos to graph it
If a dozen eggs cost $3.84 calculate the cost of 30 eggs
Answer:
a dozen is 12 so in this we find the unit rate which will be 3.84/12 which is $0.32 per egg now we multiply this by 30 which is $9.6 which is the cost for 30 eggs
THX mark me brainlyiest
SOEMOEN HELP ME WITH THE MATH PROBLME If x is 6, what is:
X 2
Answer:
36
Step-by-step explanation:
The little number, called an exponent, tells you how many times to multiply the big number times itself. In this case, the exponent is 2. So the problem would be 6 x 6, which equals 36. Hope this helps!
Which is the equation of a line that has a slope of -7 and a y-intercept of 2?
Answer:
y = -7x + 2
Step-by-step explanation:
in the general equation y = ax + b, a is the slope and b is the y coordinate of the y intercept.
Answer:
y=-7x+2
Step-by-step explanation:
The equation is represented by y=mx+b where m is slope and b is the y-intercept.
At Kira's school, 5/9 of the 360 students bring their lunch. The other students buy lunch in the cafeteria.
How many more students bring lunch from home than buy lunch?
A. 280 more students
B. 150 more students
C. 80 more students
D. 160 more students
Answer:
Options are incorrect
Step-by-step explanation:
Answer:
ansewr mine
The chart below shows how many times the students purchased lunch in the cafeteria. How many more days more did Amber purchase her lunch than Dana?
A. 12
B. 14
C. 15
D. 19
Step-by-step explanation:
The capacity of a container is 2,060 mil liters convert this to liters
Answer:
2,060 ml ÷ 1,000 = 2.06 liters
Step-by-step explanation:
the rate of currency exchange published in the newspaper on a certain day showed 12 pound could be exchange for 96 dollars. how many dollars could be obtained for 102 pounds.
Answer:
$816
Step-by-step explanation:
ratio would be:
12:96
or:
1:8
so one pound=8 dollars
102x8=816
Solve for x 4(2x+3)
I’ll mark brainlyest
Answer:
=2x5+3x4 plus brainliest please
Step-by-step explanation:
=(x4)(2x+3)
=(x4)(2x)+(x4)(3)
=2x5+3x4
Answer:
You cant solve it because its an expression but below is the expression simplified if you put the equal thing I will edit it to make it correct
Step-by-step explanation:
4 x 2x = 8x
4 x 3 = 12
8x + 12
Logan is a land surveyor. He wants to determine d, the distance across a lake that cannot be directly measured. He draws this diagram to help him.
A right triangle with side length 7 kilometers, d, and hypotenuse of 9 kilometers.
What is the approximate distance across the lake, to the nearest tenth of a kilometer?
5.7 km
6.3 km
11.4 km
16.0 km
Answer:
The first option (5.7km)
Step-by-step explanation:
Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...
(Based on the Pathagoras Theorem)
[tex]c^{2} = a^{2} + b^{2}[/tex]
[tex]9^{2} = 7^{2} + d^{2}[/tex]
[tex]d^{2} = 9^{2} - 7^{2} \\d^{2} = 81 - 49\\d^{2} = 32\\d = \sqrt{32}\\[/tex]
d ≈ 5.7km
There for aproximate distance across the lake is equal to 5.7km
Answer:
A
Step-by-step explanation:
Evaluate (–6)^2 – 7^2.
A) 85
B) 169
C) –85
D) –13
Estimate the sum using rounding numbers 67.07+4.86
Answer:
I estimated the answer would be 72 (actual answer: 71.93)
Step-by-step explanation:
67.07 rounded to the nearest whole number is 67
4.86 rounded to the nearest whole number is 5
67 + 5 = 72
hope this helped!