The amount of the 10000 invested in each Fund A is $5,300
First step is to calculate the amount invested in Fund B
Let x represent the amount invested at 7%
.07x+.05(10000-x)=630
Open the bracket
.07x+500-.05x=630
Collect like terms
.02x=630-500
.02x=130
x=130/.02
x=$6,500
Second step
Now let calculate How much of the $10,000 is invested in Fund A
Fund A amount invested=10000-6500
Fund A amount invested=$3500
Inconclusion The amount o of the 10000 invested in each Fund A is $5,300
Learn more here:
https://brainly.com/question/11360350
Please help me with this question, I only need help with c), I already know the others, a) 9pi metres squared, b) 8pi metres squared, and d) 54.5metres squared.
Answer:
1.06 m²
Step-by-step explanation:
To find the area of the two ends, you need to find the area of the inner circle, then subtract that from the area of the large circle.
As we know, A = πr²
The diameter of the larger circle is 1.8, so the radius is 0.9.
π(0.9)² = 2.54
The diameter of the smaller circle is 1.6, so the radius is 0.8
π(0.8)² = 2.01
2.54 - 2.01 = 0.53 m² (this is for one end)
0.53 x 2 = 1.06 m²
find the area of the football field when the width is 160 feet
Answer: 240ft
Step-by-step explanation:
Width:
10(15) + 10
= 150 + 10
= 160
Length:
4(15) + 20
= 60 + 20
= 80
L x W
= 160 + 80
= 240
(2t + 1) – (t – 9) = -52 – 8t
Show work ion get it
Step-by-step explanation:
Open the brackets
2t+1-t+9 = -52-8t
Collect the like terms
2t-t+8t = -52-1-9
9t= -62
Divide both sides by 9
t= -62/9
= -6.88
Approximately -6.9
What is modeled by the graph segmenſ between B and C?
CE
Height
B
C
Time
The height is remaining constant over time,
The time is remaining constant while the height changes.
The height is increasing,
The height is decreasing
Mark this and return
Save and Exit
Next
Submit
Answer:
Option A is correct.
Step-by-step explanation:
Between B and C, the value of height (y) remains constant, as shown as a horizontal line on the graph.
A shopkeepers bought 500 glass tumblers at rs 40 each . 20 glass tumblers were broken and he sold the rest at rs 45 each. Find his profit or loss percent
if you will solve this questions in copy and send me pictures of the answer then it will be very helpful for me please
500 at 40 each = £20000
To make a profit he needs to make more than £20000
20 broke so he sold 500-20 = 480 at 45 each.
480 x 45 = 21600
Profit = 21600 -20000 = 1600
His profit was £1,600
vẽ tam giác ABC biết BC=3cm góc A=35 độ góc B=65 độ
vẽ tam giác ABC biết BC=3cm góc A=35 độ góc B=65 độ
Color the factors of 42 through the maze start at the s box and finish in the f box
Answer:
1, 2, 3, 6, 7, 14, 21, and 42 are the factors of 42
Step-by-step explanation:
Answer:
Factors of 42 are: 1, 2, 3, 6, 7, 14 and 21
15 people fit comfortably in a 6 feet by 6 feet area. Use this value to estimate the size o a crowd that is 30 feet deep on both sides of the street along a 2-mile section of a parade route. (Hint: 1mile= 5,280ft)
158,400 people will fit into an area with a dimension of 30feets by 2 miles.
The area of the street can be calculated thus :
Area = Length × width
Converting the width to feets :
1 mile = 5280 feets
2 miles = x
Cross multiply :
x = 5280 × 2 = 10560 feets
Area = 10560 ft × 30ft = 316800 ft²
Since 15 people fit into an area with dimension which is 6 ft by 6ft
Area = 6 × 6 = 36 ft²
Let x = number of people
15 people = 36 ft²
x people = 316800 ft²
Cross multiply :
x = (316800 × 15) / 36
x = 158,400 people
Hence 158,400 people will fit in.
A similar question can be found here : https://brainly.com/question/13081090
Solve the following equations:
1. -301 = -3x = 7(4x – 18)
Answer:
-175/31
Step-by-step explanation:
-301 = -3x = 7(4x – 18)
-301 = -3x = 28x - 126
-301 = 31x = -126
-175 = 31x
x = -175/31
Find the coordinates of the midpoint of the segment given it’s endpoints (-3,-7) and (3,-5)
Answer:
(0, - 6 )
Step-by-step explanation:
The midpoint is the average of the x- coordinates and y- coordinates, that is
midpoint = ( [tex]\frac{-3+3}{2}[/tex] , [tex]\frac{-7-5}{2}[/tex] ) = ( [tex]\frac{0}{2}[/tex], [tex]\frac{-12}{2}[/tex] ) = (0, - 6 )
The area of a square is 100 m². What is its perimeter?
Answer:
hope it helps you.........
Answer:
correct me if I'm wrong but 40?
29 dekagrams equals 2900 what
Answer:
It equals 2900 decigrams
Step-by-step explanation:
29 dekagrams = 290 grams
290 grams = 2900 decigrams
Therefore, 29 dekagrams = 2900 decigrams
The equivalent weight in grams for a given weight in dekagrams is approximately 10 times the weight in dekagrams.
To find the equivalent weight in grams for a given weight in dekagrams, you can use the conversion factor that 1 dekagram (dag) is equal to 10 grams.
Given the information that 29 dekagrams equals 290 grams, you can set up a proportion:
[tex]\(\frac{29 \text{ dag}}{290 \text{ g}} = \frac{1 \text{ dag}}{x \text{ g}}\)[/tex]
Cross-multiplying:
[tex]\(29x = 290 \times 1\)[/tex]
Solving for x:
[tex]\(x = \frac{290}{29}\)\\\\\(x \approx 10\)[/tex]
Therefore, the equivalent weight in grams for a given weight in dekagrams is approximately 10 times the given weight in dekagrams.
To know more about weight, refer here:
https://brainly.com/question/32319871
#SPJ3
Complete Question:
If 29 dekagrams equals 290 grams, what is the equivalent weight in grams for a given weight in dekagrams?
i need help on 39 please help me!
Answer:
,hjdjhihdihhubxhjx,❤️❤️❤️♥️♥️A cell phone company charges $300 for a new phone and $40 for a monthly plan. If C (t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function?
R: ℝ
R: (0, 300)
R: (40, 340)
R: (–∞, ∞)
Answer:
The $300 charge will last until the new phone is paid off. After that the monthly charge will be $40 only.
The range of the function will be between $40 and $340:
R:[40, 340]Correct choice is C
Now
[tex]\\ \rm\hookrightarrow \mathbb{R}=(x,y)[/tex]
[tex]\\ \rm\hookrightarrow \mathbb{R}=(40,300)[/tex]
What is the answer ?
Answer:
70 seconds
Step-by-step explanation:
first we'll divide seconds by shirts 28/2 to find out how long it takes to do one shirt. it takes Jonah 14 seconds to do 1 shirt so we can then multiply that by 5 shirts to get 70 seconds
The width of a rectangle measures (5v-4w)(5v−4w) centimeters, and its length measures (3v+7w)(3v+7w) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answer:
P = 2( 8v +3w)
P = 16v +6w
Step-by-step explanation:
P = 2 ( l+w) for a rectangle
P = 2((3v+7w)+ (5v-4w))
Combine like terms
P = 2( 8v +3w)
Distribute
P = 16v +6w
At a hotel 3/4 of 100 rooms are occupied today yesterday 4/5 of 100 rooms were occupied on which day were more rooms occupied in by how much
Answer:
Yesterday 4/5 and by 5 more people
Step-by-step explanation:
Ok so 3/4 of 100 is just 100/4*3, which is 75. 4/5 of 100 is 100/5*4, therefore, equaling 80. So 80 > 75, and when you find by how much more you do 80-75, which is 5. I hope this helps and if you have any questions you can comment them on this answer
Answer:
The answer is 4/5
Step-by-step explanation:
well 3/4 of 100 is 75. 4/5 of 100 is 80.
one fourth is equal to 25. We know that because we divide 100/4 and since there's 3 out of 4 (25x3=75)
one fifth is equal to 20. (100/5 = 20) 4 times 20 equals 80
please help. i need steps and everything
Answer:
x = 13, y = 24.
Step-by-step explanation:
5x - 8 + 63 + 7x - 31 = 180 (interior alternate angles are equal).
12x + 24 = 180
12x = 180 - 24 = 156
x = 156/12
x = 13.
4y + 27 = 63 + 7x - 31 (interior alternate angles are equal).
4y +27 = 32 +7(13)
4y = -27 +32 + 91
4y = `96
y = 96/4
y = 24.
A teacher has 15 students in his class, 8 girls and 7 boys. He wants to seat them in three rows of five, but knows that if any row has two girls or two boys sitting next to each other, they will talk and won't pay attention. How many seating arrangements can he make that avoid this
Answer:
609638400
Step-by-step explanation:
Answer:
609638400
Step-by-step explanation:
Each row must alternate boys and girls, so every row is either BGBGB or GBGBG, where B denotes a boy and G denotes a girl. Since there are 8 girls and 7 boys, the teacher must have two rows of GBGBG and one row of BGBGB. There are three ways to choose this row, and once this is done, every seat is reserved for either a girl or a boy. There are 8! ways to arrange the girls in their seats, and 7! ways to arrange the boys, so the total number of seating arrangements is 3 * 7! * 8!
On Monday it snowed 8 in. On Tuesday the
snow melted 3 in. On Wensday it showed
another 5 in. How much snow
was on the
ground after it snowed on Wednesday?
Answer:
10in
Step-by-step explanation:
8-3=5
5+5=10
Answer:
10 inches.
Step-by-step explanation:
Assuming that before Monday, there was no snow.
On Monday, it snowed 8 inches, which is a net positive of 8:
0 + 8 = 8in total.
On Tuesday, it melted 3 inches, which is a net negative of 3:
8 - 3 = 5in total.
On Wednsday, it snowed another 5 inches, which is a net positive of 5:
5 + 5 = 10in total.
10 inches total of snow was on the ground on Wednesday.
~
please help! ill give brainlyest! solve the absolute value equation
Answer:
x = [tex]\frac{40}{9}[/tex] , x = - [tex]\frac{56}{9}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{2}[/tex] | [tex]\frac{3}{4}[/tex] x + [tex]\frac{2}{3}[/tex] | - 1 = 1 ( add 1 to both sides )
[tex]\frac{1}{2}[/tex] | [tex]\frac{3}{4}[/tex] x + [tex]\frac{2}{3}[/tex] | = 2 ( divide both sides by [tex]\frac{1}{2}[/tex] )
| [tex]\frac{3}{4}[/tex] x + [tex]\frac{2}{3}[/tex] | = 4
The absolute value always gives a positive result, however, the expression inside can be positive or negative, then
[tex]\frac{3}{4}[/tex] x + [tex]\frac{2}{3}[/tex] = 4 ( multiply through by 12 to clear the fractions )
9x + 8 = 48 ( subtract 8 from both sides )
9x = 40 ( divide both sides by 9 )
x = [tex]\frac{40}{9}[/tex]
-------------------------------------------------------
OR
- ([tex]\frac{3}{4}[/tex] x + [tex]\frac{2}{3}[/tex] ) = 4 , distribute left side
- [tex]\frac{3}{4}[/tex] x - [tex]\frac{2}{3}[/tex] = 4 ( multiply through by 12 to clear the fractions )
- 9x - 8 = 48 ( add 8 to both sides )
- 9x = 56 ( divide both sides by - 9 )
x = [tex]\frac{56}{-9}[/tex] = - [tex]\frac{56}{9}[/tex]
Write an equation that represents the line.
Use exact numbers. PLEASE HELP
find (f/g)(x).
f(x)=sqrtx^2-1
g(x)=sqrtx-1
(hurry plz its timed lol)
Answer:
The correct option is (a)
Choose the correct domain and range for the following graph:
GUYS PLZ HELP !!!
Simplify the expression below.
23 x 22
A. 26
B. 45
C. 25
D. 46
Answer:
23×22=506
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
answer is 2^5
Four times Greg's age, decreased by 3 is equal to 3 times Greg's age increased by 7. How old is Greg?
O 9
O 11
O 10
O 8
Answer:
let Greg's age be X
therefore;
4X - 3 = 3X + 7
4X - 3X = 7 + 3
X = 10
Greg is 10 years old
hope it's helpful
Select all numbers that will round to 800 when rounded to the nearest hundred.
724
767
788
810
850
Answer:
Anything greater or equal to 750 will be rounded to 800
and anything less than 850 will be rounded to 800,
So the numbers are:-
767
788
810
If 3/4 of x is 45, what is 1/8 of x
Answer:
15/2
Step-by-step explanation:
3/4(x)=45
x = 45 x 4/3
x = 15 x 4
x = 60
1/8 of 60
=> 15/2
..............................
Si un cerdo pesa 20.000 gramos y el ternero pesa 550 decagramos. ¿Cuál es su medida en kilogramos y cuál será el más pesado de los dos?
Answer:
Step-by-step explanation: yo también quiero la misma respuesta
if 3^2x +1 +8 =27 find x
Pls guys I need now
Step-by-step explanation:
3x²+1+8=27
3x²+9=2
3x²=27-9
3x²=19
x²=19/3
[tex]x = \frac{ \sqrt[]{19} }{ \sqrt{3} } [/tex]
Answer:
[tex]3^{2x} + 1 + 18 = 27\\ 3^{2x} = 18\\2x = log_{3} 18[/tex]
Step-by-step explanation: