Solution :
The amount invested by Yvonne = $ 4,000
Time of investment = 3 years
The simple interest earned by Yvonne in 3 years = $ 960
a). Therefore, the amount Yvonne earned by the end of three years is
= principal + interest earned
= 4,000 + 960
= $ 4,960
b). The formula for simple interest(S.I.) is given by :
[tex]$S.I. =\frac{P.T.R}{100}$[/tex]
or [tex]$R = \frac{SI \times 100}{P.T}$[/tex]
[tex]$ = \frac{960 \times 100}{4000 \times 3}$[/tex]
= 8%
c). Now if the interest rate is 1% greater, i.e. R = (8+1) = 9%
∴ [tex]$SI =\frac{P.T.R}{100}$[/tex]
[tex]$SI =\frac{4000 \times 3 \times 9}{100}$[/tex]
SI = $1,080
Therefore, the amount at the end of 3 years with 9% rate of interest will be
= 4000 + 1080
= $ 5080
Thus, Yvonne will have 5080 - 4960 = $ 120 money more in her account if the rate of interest was 1% greater.
Find the Slope of the line that passes through (5, -10) and (5, -4)
A. - 14/10
B. 10/14
C. 0
D. Undefined
There are 4 identical wooden blocks that are 20 inches long, 2 inches wide, and 1 inch thick. If you glue them together, what is the difference of the largest and smallest outer surface area you can get?
5. Find 7568 more than 16498.
16498 + 7568 = 24066.So, the correct answer is 24066 To find 7568 more than 16498, we can perform the following calculation:
16498 + 7568 = 24066.
We can perform sum via many ways:
Place value: This approach adds numbers by using their place values. For instance, we would arrange the numbers according to their decimal places and add each place value column separately to get the sum of 23 and 45. 68 would be the total.
Comparable to place value addition, but with the integers arranged in columns, is the column addition technique. For adding higher numbers, this can be useful. For instance, we would arrange the numbers in columns and add each column separately to equal 234 + 567. 801 would be the total.
Mental addition: To add numbers quickly, utilize this technique. For instance, we may consider about 23 as 20 + 3 and 45 as 40 to add 23 and 45.
To know more about calculation:
https://brainly.com/question/30781060
#SPJ2
To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing
A. calculator, but he could only see one line. Why is this?
B. because the system of equations actually has only one solution
C. because the system of equations actually has no solution
D. because the graphs of the two equations overlap each other
because the graph of one of the equations does not exist
PLEASE HELP 16 POINTS is math
A scientist mixes x liters of water into a container that had 10 liters of a mixture that is 12% salt and 88% water. The function f(x)=
Answer:
110 liters of water
Step-by-step explanation:
The computation of the number of liters of water added is shown below:
Let us assume the x be the liters of water
f(x) represents the salt percentage in the mixture
Given that
f(x) = 1.2 ÷ x + 10
f(x) = 1% = 1 ÷ 100 = 0.01
Now out the f(x) value in the above equation
0.01 = 1.2 ÷ x + 10
x + 10 = 1.2 ÷ 0.01
x + 10 = 120
x = 110 liters
Help please!!
Are these triangles similar
choices:
Both
Neither
Answer:
The blue triangle -- ∆QRS only
Step-by-step explanation:
They have the same angles (49° and 96°) and the third angle would be 35°. The pink triangle has none of the same angles measurements
please help me out lolll
Step-by-step explanation:
[tex] \sin(30) = \frac{35}{x} \\ x \sin(30) = 35 \\ x = \frac{35}{ \sin(30) } \\ x = 70[/tex]
A rectangular pyramid has a volume of 2032 cm. It is dilated by a scale factor of 3.
What will be the volume of the new rectangular pyramid?
Answer:
dunno
Step-by-step explanation:
Answer:
6,096
Step-by-step explanation:
2,032 x 3 = 6,096
Dan is stocking up on AA and AAA batteries. He bought 10 packages of batteries for a total of 72 batteries. The AA batteries are sold in packages of 6, and the AAA batteries are sold in packages of 8. Write, but do not solve, a system of equations that can be used to find how many packages of each type of battery Dan bought.
Answer:
x + y = 10
6x + 8y = 72
Step-by-step explanation:
Number of packages = 10
Total batteries = 72
For AA:
batteries per package = 6
Let number of packages = x
For AAA:
batteries per package = 8
Let number of packages = y
Number of AA packages + number of AAA packages = 10
Sum of AA + sum of AAA equals 72 batteries
x + y = 10
6x + 8y = 72
Answer:Answer:
x + y = 10
6x + 8y = 72
Step-by-step explanation:
Number of packages = 10
Total batteries = 72
For AA:
batteries per package = 6
Let number of packages = x
For AAA:
batteries per package = 8
Let number of packages = y
Number of AA packages + number of AAA packages = 10
Sum of AA + sum of AAA equals 72 batteries
x + y = 10
6x + 8y = 72
Step-by-step explanation:
A rectangle is 2/5 inches long and
1/3 inches wide what is the area of the rectangle
Answer:
2/15 inches
Step-by-step explanation:
(2/5)*(1/3)=2/15in
on a standard 6-sided die, what is the probability of rolling a 5?
Answer:
1/6
Step-by-step explanation:
−2x+5=−25
x =
green what’s the answer
Answer:
x = 15
Step-by-step explanation:
-2x= -25-5
-2x=-30
x= 15
Please Help me with these!
Answer:
30% and $30
Step-by-step explanation:
Well 240-168 is 72
72 is 30 percent of 240 because
240* x/100 = 72
24000x=7200
x=.3
.3 is percentage is 30%
We can check by doing
240*.3= 72
there is a 30% decrease
Next question
If the total price of something is 31.20 with a 4% tax we do
x * .04 + x = 31.20
because 4% added to the price of that object is 3.20
1.04x = 31.20
x= 30
we can check by doing
30*.04+ 30= 31.2
Help me out
Length = m
[tex]perimeter = a + b + c[/tex]
[tex]perimeter = 4 + 3 + c[/tex]
//
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {4}^{2} + {3}^{2} = {25}^{2} [/tex]
[tex] \sqrt{25} = 5[/tex]
[tex]c = 5 \: meters[/tex]
//
[tex]perimeter = 4 + 3 + 5[/tex]
[tex]perimeter = 12 \: meters[/tex]
//
[tex]the \: length \: of \: the \: fencing \: is\: 12 \: meters[/tex]
PLEASE HELP!!
The cost to rent a chain saw for two days and a brush chipper for two days is $272. The cost to rent a
chain saw for two days and a brush chipper for one day is $195. Write a system of equation to solve to
find the cost of renting a chain saw for one day.
Solve for n:
1-5|n-9|=-74
I need answer by 12:10, please help!!!
Answer:
[tex]n=-6, 24[/tex]
Step-by-step explanation:
We are given:
[tex]1-5|n-9|=-74[/tex]
Subtract 1 from both sides:
[tex]-5|n-9|=-75[/tex]
Divide both sides by -5:
[tex]|n-9|=15[/tex]
By definition of absolute value:
[tex](n-9)=15\text{ or } -(n-9)=15[/tex]
Solve for each case:
[tex]n=24\text{ or } n=-15+9=-6[/tex]
Therefore, our two solutions are:
[tex]n=-6, 24[/tex]
What is the sum of the rational expressions below? 2x + 7 / x + 5 + x - 3 / x + 5
Answer:
[tex]\frac{3x+4}{x+5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2x+7}{x+5}[/tex] + [tex]\frac{x-3}{x+5}[/tex]
Since both fractions have a common denominator then add the numerators, placed over the common denominator.
= [tex]\frac{2x+7+x-3}{x+5}[/tex]
= [tex]\frac{3x+4}{x+5}[/tex]
Answer:
The answer is
[tex] \frac{3x + 4}{x + 5} [/tex]
Step-by-step explanation:
We can do this by using the denominators.
[tex]then \\ \frac{2x + 7}{x + 5} + \frac{x - 3}{x + 5} \\ = \frac{2x + 7 + x - 3}{x + 5} \\ = \frac{3x + 4}{x + 5} [/tex]
Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does Tyrone have?
Write multiplication and division equations to model and solve the problem. Use m for the unknown
16 model airplanes on his shelf
4 times as many model airplanes as model trains
let's denote the number of model trains as m
So,
m=16×4
m=64
Therefore,there are 64 model trains.
pleasemark me as brainliest answer
Write the equation in point-slope form given the following information: f(3)=7 and f(8)=17
Answer:
Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).
Step-by-step explanation:
One coffee and two slices of cake cost 8 dollars in total. Two coffees and 3 slices of cake cost 14 dollars in total. What are the individual prices of one coffee and of one slice of cake?
Answer:
Step-by-step explanation:
coffee=c
cakes=d
c+2d=8
2c+3d=14
c=8-2d
2(8-2d)+3d=14
16-4d+3d=14
-d=-2
d=2
c+4=8
c=4
coffee=4 dollars each
cakes=2 dollars each
The price of coffee is $4 and price of slice of cake is $2.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
One coffee and two slices of cake cost 8 dollars in total.
Two coffees and 3 slices of cake cost 14 dollars in total.
let the price of coffees sold be x
let the price of slices of cake sold be y
Then, the system of equations are
x+ 2y = 8
2x+ 3y = 14
On solving
2(8- 2y)+ 3y= 14
16 - 4y + 3y= 14
-y= -2
y= 2
and, x = 8- 2(2)= 8- 4= 4
Hence, price of coffee is $4 and price of slice of cake is $2.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ2
Which of the following correctly shows the Pythagorean theorem?
Answer:
a²+b²=c²
Step-by-step explanation:
that is the formula for calculating pythagoras
What is the y-intercept
Answer:
-2
Step-by-step explanation:
hope this helps!!!!!!!?
Amy and Darren each solved the following system of equations using a different method
y=0.5x + 1
4x -2y=4
Is either of them correct? Explain your reasoning and give the correct solution to the system.
Answer:
what is
Step-by-step explanation:
the the 3 4 4
When plotting points on the coordinate plane below, which point would lie on the x-axis?
(6,0)
(0,2)
(3,8)
(5,5)
(Help me please)
Answer:
(6,0)
Step-by-step explanation:
If the y-coordinate is 0, it is lying on the x-axis
Same with the x-coordinate. If it is 0, it is lying on the y-axis
Solve the equation f/ 1.4 = 6
Step-by-step explanation:
[tex] \frac{f}{1.4} = 6 \\ [/tex]
[tex]f = 6 \times 1.4[/tex]
[tex]f = 8.4[/tex]
Answer:
The answer to your question is 8.4
On Friday you biked 6.4 miles on Saturday you biked 9.8 miles how many miles have you biked altogether
Answer:
16.2 miles
Step-by-step explanation:
just add 6.4 and 9.8 you will get 16.2 miles
Helppp plssss this is due soooon
Which linear function represents the table
PLEASE HELP ME ILL GIVE BRAINLIEST
Answer:
the answer is B y=6x+2
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
Hope this helps.
please help me with this
Answer: B
Step-by-step explanation: