At the end of 4 years, your savings will have grown to $4,502.
You will have earned in $502 in interest.
QUESTION
arning Page
The length of a rectangle is 3 m less than twice the width, and the area of the rectangle is 65 m². Find the dimensions of the rectangle.
Answer:
width: 6.5 mlength: 10 mStep-by-step explanation:
Let w represent the width of the rectangle in meters. Then (2w-3) is the length. The area is the product of length and width:
A = LW
65 = (2w-3)(w)
2w² -3w -65 = 0
(2w -13)(w +5) = 0 . . . . . . . factor
w = 6.5 . . . . . . . . the positive solution
2(6.5) -3 = 10 . . . the length of the rectangle
The width of the rectangle is 6.5 meters; the length is 10 meters.
Suppose you invest 18,400.00 into an account earning an interest rate of 2.991% compounded continuously for 2 year(s) and thereafter earning an interest rate of 4.192%compounded yearly. How much money is in the account after 9 years?
[tex]~~~~~~ \stackrel{\textit{for the first 2 years}}{\textit{Continuously Compounding Interest Earned Amount}} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$18400\\ r=rate\to 2.991\%\to \frac{2.991}{100}\dotfill &0.02991\\ t=years\dotfill &2 \end{cases} \\\\\\ A = 18400e^{0.02991\cdot 2}\implies A = 18400e^{0.05982}\implies A\approx 19534.276[/tex]
now let's grab that amount and invest it for the remaining 7 years at 4.192% compounded.
[tex]~~~~~~ \stackrel{\textit{for the last 7 years}}{\textit{Compound Interest Earned Amount}}\\\\A=P\left(1+\frac{r}{n}\right)^{nt}\quad\begin{cases}A=\textit{accumulated amount}\\P=\textit{original amount deposited}\dotfill &\$19534.276\\r=rate\to 4.192\%\to \frac{4.192}{100}\dotfill &0.04192\\n=\begin{array}{llll}\textit{times it compounds per year}\\\textit{yearly meaning once}\end{array}\dotfill &\\t=years\dotfill &7\end{cases}[/tex]
[tex]A=19534.276\left(1+\frac{0.04192}{1} \right)^{1\cdot 7}\implies \boxed{A\approx 26039.82}[/tex]
dana starts biking the 2 miles from her home at a speed of 12 mph. 2 minutes later, her brother leaves the house. What should his minimum biking speed be if he wants to get to school no later than his sister?
Answer:
15 miles per hour
Step-by-step explanation:
12 miles per hour / 60 mins = 0.2 miles per minute
0.2 mpm * 10 mins = 2 miles (it takes her 10 mins to travel 2 miles)
at to 2 minutes shes already 0.4 miles ahead of her brother.
he will have to travel to school in 8 mins to arrive at the same time as his sister so his speed will have to be x*8= 2 so x=2/8 or 0.25 so his speed will have to 0.25 mpm so 0.25*60= 15
his speed should be 15 miles per hour
PleaseHelp! Easy math
Answer:
1.x=12
6/12 divided by 3 for both denominator and numerator
2. x=5
2/10 divided by 3 for both denominator and numerator
5. x=60
60/100 divided by 20 for both denominator and numerator
Find out #3 for yourself
Step-by-step explanation:
PLEASE HELP 10 POINTS✨
Write an equation for each problem. Use the variable M.
18) Five students are absent from math class today. If there are 22 students in math class today, how many students would there be if none were absent? =
19) Juan pays $22.05 more than Kim each month for his health club membership. Juan pays $59.95 each month. How much does Kim pay each month? =
Answer: 18) there are 27 students
i am new to this so i am sorry if i got this wrong
Step-by-step explan If there are 22 students add 22+5 and the anwser is 27
multiply
1 1/2 x 1 1/4=______
Answer:
121/8
Step-by-step explanation:
Simply Multiply.
The length of a rectangle is 3 in longer than its width.
If the perimeter of the rectangle is 42 in, find its area
Answer:
The first task in a word problem is to translate it into symbols.
First, give a name to each quantity:
Let w be the width of the rectangle
Notice the length = w+3
Let a be the area of the rectangle
Let p be the perimeter of the rectangle
Next, write down formulas relating the quantities
Step-by-step explanation:
a = w * (w+3)
p = 2w + 2(w+3)
We know p = 42, so
42 = 2w + 2(w+3)
im sure you know how to simplify and solve for w:
42 = 4w + 6
4w = 36
w = 9
now you’re ready to attack the area
a = w * (w+3) = 9 * (9+3)
can you take it from there?
Hello there can you please help y
Answer:
5x + 28 = 7x - 4
2x = -32
x = -16
help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
what is the value of X?
Check the picture below.
Theresa Morgan, a chemist, has a 30% hydrochloric acid solution and a 55% hydrochloric acid solution. How many liters of each should she mix to get 437.5 liters of a hydrochloric acid solution with a 45% acid concentration?
Answer:
Step-by-step explanation:
30F + 55S = 45(437.5)
30F + 55S = 19687.5
30F = 19687.5 - 55S
F = (19687.5 - 55S) / 30
30((19687.5 - 55S) / 30) + 55S = 19687.5
S = 0 (30%)
F = (19687.5 - 55S) / 30 (55%)
1. find the mean of three numbers x, y and z,
a.express x in terms of а, y and z
b find x when a=5, y=2 and z=1
3. y x varies directly as y and inversely as z and x 27, y =9 and z =2
Answer:
i dont know
Step-by-step explanation:
hard one wat is 500-45=
good luck
Answer:
EASY the awnser is about 15
Answer:
455
Step-by-step explanation:
Can someone help please
Answer:
0.3 miles per hour
Step-by-step explanation:
Speed is distance divided by time so your equation is 45 divided by 150. 45 divided by 60 plus 60 plus 30 = 150 45 divided by 150= 0.3
(2a-1/3) / b/15 when a=-3/5 and b=-6.75
Answer:
4.148148149
Step-by-step explanation:
that's the answer
Step-by-step explanation:
2a-1/3 / b/15
[tex](2 \times \frac{ - 3}{5 } ) \div \frac{ - 6.75}{15} \\ = \frac{ - 6}{5} \times \frac{15}{ - 6.75} \\ = \frac{18}{6.75} [/tex]
8 2/3 and 10 23/32 in its simplest form
A machine packs 180 boxes of cereal in a half-hour. It takes 55 minutes to pack 330 boxes. True or False?
Answer:
True
Step-by-step explanation:
If you divide 180 by 30 you will get 6. then 6 times 5 is 30. If you add 30 to 330 you will get 360. If you take 180 boxes for 30minutes and double. You get 360 boxes in 60minutes. If 5 minutes is 30 boxes. Subtract 30 from 360 and you get 330 in 55 minutes.
Steve bicycles 3 mi to school everyday at 15 mph. If school starts at 8:30 am and he needs 15 min to lock his bike and get to his desk then what time should he leave his house
Answer:
8:03
Step-by-step explanation:
time=speedxdistance
t=1/15x3
t=3/15hr
t=.2hr
t=12 mins
plus 15 mins to lock up bike, 27 mins
27 mins before 8:30 is 8:03
pls mark branliest
Help plzdsadsadsadsdsa
Answer:
Step-by-step explanation:
9b²c² = (3bc)²
100m²n⁶ = (10mn³)²
I hope I've helped you.
Write the slope of the line passing through the two points: (7,8) and (0,5)
Answer:
3/7
Step-by-step explanation:
slope = [tex]\frac{y2 - y1}{x2 - x1}[/tex] = [tex]\frac{5-8}{0-7}[/tex] = -3/-7 = 3/7
Question 2 (Essay Worth 10 points)
(07.02 MC)
An equation is shown below:
3(2x - 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
ses
GE
22 23
Source
VG
B I
US
IX
SE
E
Styles
Format
Answer:
Part A: 1 solution
Part B:
3(2x-7)=3
6x-21=3
+21 +21
6x=24
/6 /6
x=4
X=24
Step-by-step explanation:
First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4
PLSSS I NEED HELP WITH MATH.
Answer:
Step-by-step explanation:
Natasha added 13/24 of the bag of soil more than Dina
Dina added 5/6 of the bag of soil
Natasha added 11/8 of the bag of soil
To solve this problem, we will subtract two fractions with unlike denominators.
to find the quantity of soil did Natasha add than Dina
= 11/8 - 5/6
LCM = 24
33/24 - 20/24
= 13/24
SORRY THAT ALL WHAT CAN I SLOVE
A line has a rise of 3 and a run of 12. What is the slope?
4
1/4
1/3
Answer:
1/4
Step-by-step explanation:
Rise/run=3/12 divided by 3 = 1/4
Perpendicular Bisector Theorem
A perpendicular bisector of a line segment is a line which divides the line segment into two equal parts. So here, PS = PQ
=》 PS = 3a
=》 PQ = a + 16
PS = PQ
3a = a + 16
3a - a = 16
2a = 16
a = 16/2
a = 8.
_______
RainbowSalt2222 ☔
Add.
45+3110
Enter the sum in the box as a mixed number in simplest form.
Answer:
3110+45=3155
Step-by-step explanation:
just add them to
1 2/3 divided by 2 3/4
Answer:
20 / 33
Step-by-step explanation:
Brianlyest plz
1. A variable whose value cannot be predicted or set with certainty is a:_____.
a. discrete variable
b. random variable
c. realistic variable
d. simulation variable
2. If chance or uncertainty is present in a system then there is an element of ____ in the decision-making problem.
a. danger
b. security
c. risk
d. difficulty
3. Best case analysis is a(n) ____ view of the problem.
a. pessimistic
b. optimistic
c. risky
d. certain
4. Worst case analysis is a(n) ____ view of the problem.
a. pessimistic
b. optimistic
c. risky
d. certain
5. What method is used to generate observations from a distribution?
1. Random Variable
2. Risk
3. Optimistic
4. Pessimistic
5. Im not sure
If XZ=8x-18 and RZ = 2x+5 find XR
Answer:
6x+23
Step-by-step explanation:
8x-18+2x+23
8x-2x+5+18
6x+23
Answer:
XR=19
Step-by-step explanation:
Since the entire thing of XZ equals 8x-18 and one side of the line equals 2x+5 we will need another half to get the entire thing.
8x-18=4x+10
4x=28
x=7
Now we have to plug the x in
2(7)+5
=19
Find the inequality represented by the graph
Answer:
y < 3/4 x
(We don't put another number at the end, if the y-intercept is 0, btw.)
Step-by-step explanation:
We know that the line has a positive slope, because it's going upwards to the right.
(We can use rise/run to determine the exact slope: Just go up 3 units and to the right 4 units, starting from the first point. Now we know the slope is 3/4).
Further more we know that the y-intercept is 0, because that's the point in which the line crosses the y-axis.
We also know that since the line is dotted, the sign will be either < or >.
And the shaded area below indictes that y is lesser than, meaning we use this sign <.
Hope this helps you :)
Neeed helppppppppppppppppp
1.25 is closer to 1.04 or not ?
plz heelp
Answer:
Yes 1.25 is closer to 1.04
Step-by-step explanation:
Hope this helps!
Answer:
1.25 is not closer to 1.04 because it's like, 1 dollar and 4 cents; compared to 1 dollar and 25 cents. Obviously 25 cents is more than 4 cents.
1.25 rounded:
1.30
1.04 rounded:
1.00
