Christi has $7,500 to invest. She was offered a simple annual interest rate of 4% for three years, but wants to look at other options. Which of the following changes will increase the interest she earns the most?
A-Simple interest, 4.2%, 3 years
B-Simple interest, 4.1%, 3 years
C-Simple interest, 4%, 3.25 years
D-Compound interest, 4%, 2.75 years
Christi can earn more interest if she invests $7,500 in Simple interest, 4%, 3.25 years, therefore, the correct option is c.
What is simple interest?Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
[tex]SI = \dfrac{P \times R \times T}{100}[/tex]
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
The simple Interest she is currently getting,
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4 \times 3}{100} =\$900[/tex]
A.)
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4.2 \times 3}{100} =\$945[/tex]
B.)
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4.1 \times 3}{100} =\$922.5[/tex]
C.)
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4 \times 3.25}{100} =\$975[/tex]
D.)
[tex]CI = P(1+\dfrac{R}{100})^t -P = \$7,500(1+0.04)^{2.75}-\$7500 = \$854.16[/tex]
Hence, Christi can earn more interest if she invests $7,500 in Simple interest, 4%, 3.25 years, therefore, the correct option is c.
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Which of the following is most likely the next step in the series
Answer:
D
Step-by-step explanation:
6 sides then 5 then 4 then there should be 3
markme brainliest
write a five digit number with an 8 that is 10 times the value of 8 in 48,324
Answer:
800000
Step-by-step explanation:
the 8 is 10,000, so 10 x 10,000 = 100,000
100,000 put an 8 anywhere
A band expects to put 12 songs on their next CD. The band writes and records 25% more songs than they expect to put on the CD. During the editing process, 80% of the songs are removed. How many songs will there be on the final CD?
Answer:
3 songs
Step-by-step explanation:
25% more songs: 12 x 1.25 = 15
80% removed: 15 x 0.2 = 3
pls help! :( if you get it right I’ll give brainliest!!
Answer:
2.3 A
Step-by-step explanation:
Its 2.3 what am I supposed to say
Find the average rate of change for the given function over the indicated values of x. If necessary, round your final answer to two decimal places.
f(x)=x^2+6x, where x goes from 5 to 7.
Answer:
The average rate of change of the function in this interval is of 18.
Step-by-step explanation:
The average rate of change of a function [tex]f(x)[/tex] in an interval from a to b is given by:
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
In this question:
[tex]f(x) = x^2 + 6x[/tex]
Where x goes from 5 to 7.
This means that [tex]b = 7, a = 5[/tex]. So
[tex]f(7) = 7^2 + 6(7) = 49 + 42 = 91[/tex]
[tex]f(5) = 5^2 + 6(5) = 25 + 30 = 55[/tex]
The rate of change is:
[tex]A = \frac{f(7) - f(5)}{7 - 5} = \frac{91 - 55}{2} = 18[/tex]
The average rate of change of the function in this interval is of 18.
The rate of change of a function over a given interval is required.
The average rate of change is 18
Rate of changeThe given function is
[tex]f(x)=x^2+6x[/tex]
The interval is between [tex]x=5[/tex] to [tex]x=7[/tex]
Finding the corresponding [tex]y[/tex] values
[tex]y=5^2+6\times 5=55[/tex]
[tex]y=7^2+6\times 7=91[/tex]
The two points are
[tex](5,55),(7,91)[/tex]
The slope is
[tex]m=\dfrac{\Delta y}{\Delta x}\\\Rightarrow m=\dfrac{91-55}{7-5}\\\Rightarrow m=18[/tex]
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how could you use 1/8 measuring cup to measure 1/4 cups of water
We can use 1/8 measuring cup two times.
What is measurement?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
A cup of measurement 1/8.
Now,
we have to measure 1/4 from the cup using cup of measurement 1/8.
So, we can measure it two times.
as, 1/8+ 1/8
= 2/8
=2/4.
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hi please help urgent question!!!
will give brainlist :>
Answer:
dont know sos
Step-by-step explanation:
Are the ratios proportional?
10/12 and 20/32
Answer:
no they arent
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
10/12 can be simplified as 5/6 however 20/32 turns to 10/16 which then can be simplified to 5/8
PLEASE PLEASE HELP!!!
Answer:
x = 8
Step-by-step explanation:
small triangle is similar to larger one
set up a proportion: 9 = x + 4
9+12 x+4+2x
9 = x+ 4 cross-multiply: 9(3x + 4) = 21(x + 4)
21 3x + 4 27x + 36 = 21x + 84
6x + 36 = 84
6x = 48
x = 8
It can be helpful to classify a differential equation, so that we can predict the techniques that might help us to find a function which solves the equation. Two classifications are the order of the equation -- (what is the highest number of derivatives involved) and whether or not the equation is linear . Linearity is important because the structure of the the family of solutions to a linear equation is fairly simple. Linear equations can usually be solved completely and explicitly. Determine whether or not each equation is linear:
Answer:
The equations are not given but the clue to your answer is given below:
Step-by-step explanation:
So the question above talks generally about differential equations (equations whose derivatives can be found) and then describes them thus - the order of a differential equation and the linearity status of a differential equation.
To determine whether or not each of the absent equations is linear, check for the following characteristics of linearity:
1. The maximum number or power that any variable in a linear equation is raised to is 1.
Example: 2x² + 6y = 43y is NOT a linear equation because some or all (in this case, variable x) of the variables in it are raised to a power greater than 1. Variable x is raised to the power of 2.
2. An equation (a linear equation, in this case) contains an 'equal to' sign. This is the reason why it's called an equation. There is a mathematical expression on each side of the equal to sign. Take note of this, just incase one of the options in your question has no equal to sign.
Example: 2x + 6y is NOT a linear equation. It is a linear expression. It contains no equal to sign that compares two distinct mathematical expressions.
3. A linear equation usually has not more than two variables. It is not complex or difficult to solve.
Example: 2x + 6y = 43z is NOT a linear equation.
Find the value of x so that the function has the given value.
r(x)=−45x+7; r(x)=−5
Answer:
x = 3
Step-by-step explanation:
j(x) = 4/5(-5) + 7
= -4 + 7
= 3
(Giving brainliest!)
Explain the following in complete sentences:
is the number 1 prime?
Answer: No because it’s the 1st number
No
PLEASE HELP. Mr. Washington made several purchases for his printing business. The mean price of the purchases was $150, and the mean absolute devlatlon was $30 . Based on this informaton, which statement must be true?
Answer:
the 4th statement
Step-by-step explanation:
Complete the table, and graph the pairs of values.
A tree was 60 inches tall. Three years later it was 105 inches tall
Answer:
Im sorry but I think you have forgotten to pit your question innit
Answer:
Step-by-step explanation:
something is wrong with the question...
thanks for the points. ^_^
Allison converted 50 US dollars to 290 Argentine pesos. If she converts another 80
US dollars to Argentine pesos, how many pesos would she get for 80 US dollars?
( A) 1.6
B) 5.8
464
D) 580
Answer:
464 pesos
Step-by-step explanation:
290 / 50 = 5.8
5.8 X 80 = 464
A total of 817 tickets were sold for the play. They were either adult or student tickets. There were 67 more student tickets sold than adults. How many adult tickets were sold?
Answer:
375
Step-by-step explanation:
"817 tickets were sold"
a and s are the number of adults and students, respectively.
a+s = 817
s = 817-a
"67 more student tickets sold than adults"
s = a+67
817-a = a+67
750 = 2a
a = 375
375.
817 minus 67 = 750÷2=375
Algebraic Expression Evaluate the expression 9x + 2 when × = 3
HELP ME
Answer:
The value of 9x+2 when x=3 is 29
Step-by-step explanation:
Algebraic Expressions
We are given the expression
9x + 2
And it's required to evaluate the expression when the value of x is 3.
It can be done by substituting x by 3:
9*3 + 2
=27 + 2
=29
The value of 9x+2 when x=3 is 29
im dum but please help me
Answer:
336
Step-by-step explanation:
area = 1/2 * (a + b) * h
For what values of h and k does the linear system have infinitely many solutions? 2x1 + 5x2 = −1 hx1 + kx2 = 7
Answer:
The values of [tex]h[/tex] and [tex]k[/tex] for a linear system with infinitely many solutions are -2 and 5, respectively.
Step-by-step explanation:
Let [tex]2\cdot x_{1}+5\cdot x_{2} = -1\cdot h\cdot x_{1} + k\cdot x_{2} = 7[/tex], if this linear system has infinitely many solutions, then the following conditions must be met:
[tex]-1\cdot h = 2[/tex] and [tex]k = 5[/tex].
[tex]h = -2[/tex] and [tex]k = 5[/tex]
The values of [tex]h[/tex] and [tex]k[/tex] for a linear system with infinitely many solutions are -2 and 5, respectively.
8). There are five bags with 98 chocolate drops in each one. How many chocolate drops are there in total? Write the equation and give the solution.
Answer:
490
Step-by-step explanation:
98*5+490
Answer:
490
Step-by-Step Explanation:
the equation is 5 x 98 = 490.
Solve for x:
1 ½ - ( 5/6x + ⅓ ) = 8/9
Answer:
its x=1/3 :)))
The agriculture club is planting vegetable gardens of land that measures 1 3/4 of an acre. Each garden will measure 1/8 of an acre. What is the greatest number of gardens that can be planted?
Answer: 14 gardens
Explanation:
1. You can either turn the fractions into decimals (1.75 and 0.125) or make the denominators the same (1 6/8 and 1/8)
2. multiplying 3/4 by the 2 to get the least common multiple, which in this case is 8. (3/4x2=6/8)
3. Divide the number of acres available (1 6/8) by the number of acres needed for each garden (1/8) to get the answer. (1 6/8÷1/8=14)
Three pizzas are shared equally among 12 people.what fraction of pizza will each person get
Answer:
1/4
Step-by-step explanation:
3/12 =0.25
0.25 = 1/4
Answer:
there are three pizzas
it has to be shared among 12 peoples
so, 3/12 = 1/4.
what is the value of the ecpression ( 81 1/4 ) 4
Answer:
324 1/4
Step-by-step explanation:
Answer:
43580627 _(ﾟ◇ﾟ；)ノﾞ
Step-by-step explanation:
1.1 81 = 34
(81)1 = (34)1 = 3
34
Simplify ——
4
Find the length median of the trapezoid( 20 points and brainliest if answered)
Answer:
1. 45
2.40
Step-by-step explanation:
−1/5(x−4)=−2 Please help me fast
Answer:
x=14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−1/5(x−4)=−2
(−1/5)(x)+(−1/5)(−4)=−2(Distribute)
−1/5x+4/5=−2
Step 2: Subtract 4/5 from both sides.
−1/5x+4/5−4/5=−2−4/5
−1/5x=−14/5
Step 3: Multiply both sides by 5/(-1).
(5/−1)*(−1/5x)=(5/−1)*(−14/5)
Plz help
Simplify 6(3x-5)+5(2x-1)
3/4
What fraction is equivalent to the fraction above.
Answer: 6/8, 12/16, 15/20, 18/24, are all equal
Step-by-step explanation: