The amount invested in the bond that yields 5% is $3500 and the amount invested in the bond that yields 3% is $1500
This question would be solved using simultaneous equation
Two equations can be derived from this question
a + b = 5000 equation 1
0.05a + 0.03b = 220 equation 2
where a = amount invested in the bond that bears 5% per month
b = amount invested in the bond that bears 3% per month
Multiply equation 1 by 0.05
0.05a + 0.05b = 250 equation 3
Subtract equation 2 from 3
0.02b = 30
Divide both sides of the equation by 0.02
b = 1500
Substitute for b in equation 1
a + 1500 = 5000
subtract 1500 from both sides of the equation
a = 5000 - 1500 = 3500
Amount invested in the bond that yields 5% is $3500
Amount invested in the bond that yields 3% is $1500
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Help asapShape A is congruent to shape ____because a 180° rotation about the origin and then a translation unit(s) right maps shape A onto it.
Shape B is congruent to shape____ because a 90° clockwise rotation about the origin and then a translation unit(s) left maps shape B onto it.
Answer:
Shape A is congruent to shape D and has been translated 2 units to the right
Shape B is congruent to shape E and translated 1 unit to the left.
Step-by-step explanation:
Shape A is congruent to shape D and has been translated into 2 units to the right, and shape B is congruent to shape E and translated into 1 unit to the left.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that:
The shapes are given in the picture.
From the definition of congruency; congruent figures are those that are exactly the same size and shape. Congruent is represented by the symbol ≅.
Form A has been translated into two units to the right and is congruent with shape D.
Form B is translated one unit to the left and congruent to shape E.
Thus, shape A is congruent to shape D and has been translated into 2 units to the right, and shape B is congruent to shape E and translated into 1 unit to the left.
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measure at least pairs of corresponding angles in XJYN and ZSCH using a protractor. Record your measurements to the nearest 5. what do you notice?
Answer:
any file to have a reference?
A swimmer wins the 50-yard freestyle with a time of 24.76 seconds. Find the swimmer’s average speed to the nearest hundredth of a yard per second.
Answer:
2.02 yards per second
Step-by-step explanation:
Distance/time= Average speed or speed
50yard/ 24.76sec= 2.01938 yards per second ~ 2.02 yards per second
the solution for 3x-5=2x+3-(x-4)
Answer:
3x-5=2x+3-(x-4)
first deal with the bracket first. multiply -1 by x and -4.
3x-5=2x+3-x+4
group like terms that is sort them according to the letters.
3x+x-2x=3+4+5
4x-2x=12
2x=12.divide both sides by 2.
2x=12
2 2
x=6
x =
10
6
5
help please
Answer:
10
Step-by-step explanation:
2+3=5
5+4=9
the blank in the circle must be more than 10
Find the measure(s) of the interior angles of the polygon.
Answer:
X = 57
3x-6 = 165
Step-by-step explanation:
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BRAINLIEST FOR THE RIGHT ANSWER! THANKS! Indicate in standard form the equation of the line through the given points, writing the answer in the equation box below.
P (0, -4), Q (5, 1)
Answer:
- X + Y = -4 is the standard form
Y =1X -4 is the slope intercept form
Step-by-step explanation:
x1 y1 x2 y2
0 -4 5 1
(Y2-Y1) (1)-(-4)= 5 ΔY 5
(X2-X1) (5)-(0)= 5 ΔX 5
slope= 1
B= -4
Y =1X -4
Function n represents a cubic function that passes through the points (-1,0) and (0,2).
Which statement is true?
Answer: B
Step-by-step explanation:
y-intercept of m is -6
y-intercept of n is 2
Since -6 < 2:
A: false
B: true
C: false
D: false
Given the points X(-9, 2) and Y(5, -4), find the length of XYXY. Round to the nearest hundredth.
Answer:
15.23
Step-by-step explanation:
the length of XY =√(5+9)²+(-4-2)²
=√14²+(-6)²
=√196+36
=√232
= 15.23
[tex]\\ \rm\longmapsto XY=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \rm\longmapsto XY=\sqrt{(5+9)^2+(-4-2)^2}[/tex]
[tex]\\ \rm\longmapsto XY=\sqrt{(14)^2+(-6)^2}[/tex]
[tex]\\ \rm\longmapsto XY=\sqrt{196+36}[/tex]
[tex]\\ \rm\longmapsto XY=\sqrt{232}[/tex]
[tex]\\ \rm\longmapsto XY=15.2[/tex]
help if you can id appreciate it
Less than 14 means
x < 14
Answer:
A. x < 14
Step-by-step explanation:
'<' = "less than"
'=' = "equal to"
'>' = "greater than"
There are 75 boys, 60 girls and 15 teachers at a kindergarten.
What is the simplest ratio of boys to girls to teachers?
Answer:
boys:girls:teachers
5 : 4 :1
Step-by-step explanation:
75 boys, 60 girls and 15 teachers
boys:girls:teachers
75 : 60 :15
Divide each term by 15
75 /15 : 60/15 :15/15
5 : 4 :1
Rebecca bought a square rug for her office. If the area of the rug is 65ft estimate the side length of the rug to the nearest tenth.
Answer:16.3 ft
Step-by-step explanation:
The estimated value of the side length of the square rug is : 8.062 feets
Given that the area of the square rug = 65 ft²
Recall :
Area of a square = s²
Where, s = side length
Therefore,
Area of rug = s²
65 ft² = s²
65 = s²
Square both sides
√65 = s
8.062 = s
The estimated side length of the rug is 8.062 feets.
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HELP ME PLEASE ASAP!
Answer:
second option
Step-by-step explanation:
Pythagoras for right-angled triangles :
c² = a² + b²
c is the Hypotenuse, the line opposite of the 90 degree angle.
a and b are the other 2 sides.
the distance between 2 points is the Hypotenuse of a right-angled triangle of the coordinate differences in x and y.
so, we have (-2, -3) and (3, 2)
distance² = (x1 - x2)² + (y1 - y2)² = (-2 - 3)² + (-3 - 2)² =
= (-5)² + (-5)² = 25 + 25 = 2×25 = 50
distance = sqrt(50) = sqrt(2×25) = 5×sqrt(2)
Find the prime factorization of the greatest
3-digit number
Answer:
3,3,3,37
Step-by-step explanation:
The greatest 3 digit number is 999
prove this question
please
Answer:
see explanation
Step-by-step explanation:
Consider the left side
[tex]cos^{4}[/tex]A + [tex]sin^{4}[/tex]A - 2cos²Asin²A ← is the expansion of
= (cos²A - sin²A)²
Substitute sin²A = 1 - cos²A
= (cos²A - (1 - cos²A) )²
= (cos²A - 1 + cos²A)²
= (2cos²A - 1 )²
= right side , then proven
How would I get the answers to 9-14?
Answer:
9. 38
10. 19
11. 91
12. 89
13. 110
14. 109
Step-by-step explanation:
A line (PT) is always a total of 180 degrees and QVR = RVS (given) so let x = QVR then
PVQ + QVR + RVS + SVT = 180
72 + x + x + 70 = 180
72 + 2x + 70 = 180
2x = 180 - 72 - 70
2x = 180 - 142
2x = 38
x = 19
so
9. QVS = QVR + RVS = 2x = 19 + 19 = 38
10. QVR = x = 19
11. PVR = PVQ + QVR = 72 + 19 = 91
12. TVR = TVS + SVR = 70 + 19 = 89
13. PVS = PVQ + QVR + RVS = 72 + 19 + 19 = 110
14. TVQ = TVS + SVR + RVQ = 70 + 19 + 19 = 109
If f(x)= 3^x, prove that f(x) + f (x + 1)= 4 f (x) (3 marks)
Answer:
4 f(x)
Step-by-step explanation:
step by step explainantion is in picture below
Find all of the missing angles - a, b, c, and d.
Answer:
a. 65 degree
B. 25 degree
c. 25 degree
d. 75 degree
Step-by-step explanation:
shown in photo.
Mark me brain list if it help you
Answer:
a = 65°
b = 25°
c = 25°
d = 75°
Step-by-step explanation:
60 + a + 55 = 180 (Angles of a straight line)
a + 115 = 180
a = 180 - 115
a = 65°
a + b + 90 = 180 (Interior angles of a triangle add up to 180°)
65 + b + 90 = 180
b + 155 = 180
b = 180 - 155
b = 25°
b = c (Vertically opposite angles are equal)
c = 25°
d + 15 = 90 (Complementary angles)
d = 90 - 15
d = 75°
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!The diameter of a cylindrical propane tank is 6 feet the total volume is 989.9 cubic feet find the length of the tank
→20 lb tank: 18” tall and 12” in diameter. Holds 5 gallons of propane. ...
→33 lb tank: 2 feet tall and 1 foot in diameter. Holds 8 gallons of propane. ...
→100 lb tank: 4 feet tall and 18” diameter. ...
→420 lb tank: 4 feet tall by 3 feet diameter. ...
→500 gallon tank: 5 feet tall by 10 feet long.
Hope this helps ^_^
If 35 = 5x, then 9 - 7x = ?
Answer:
Since 35/7=5, 5x7=35.
So x=7.
9-7=5
5x=35
Joy drinks 4 bottles of water per day. Each bottle contains
16.5 fluid ounces. How many fluid ounces of water does
she drink per day?
a) 66 fluid ounces
b) 68 fluid ounces
c) 660 fluid ounces
d) 680 fluid ounces
Answer:
A) 66
Step-by-step explanation:
I have no explanation to this but hope it's help
Answer:
a) 66 fluid ounces
Step-by-step explanation:
it's easy
all you have to do is multiply the amount of bottles Joy drinks in a day (in this case 4) with the amount of fluid ounces contained in each bottle she's drinking (in this case 16.5)
so in other words
4 x 16.5 = 66
make a factor tree for 24
Step-by-step explanation:
24
^
2 12
^
2 6
^
3 3
^
3 1
Therefore its 2,2,3,3
-6 + 3a - b - 4a + 4b + 5
Step-by-step explanation:
hope this may help you tq have a nice day
The total length of the stage is 76 feet. An actor starts at point A then stops at point B before disappearing through the trap door. How far does he walk across the stage?
Answer:
since the distance from the outside edges is 26 1/2 feet, divide that by 2 to get the distance from the center to the edge ( 26 1/2 / 2 = 13 1/4 feet)
the stage is 76 feet so divide that by 2 to find the center 76/2 = 38 feet
now subtract the 13 1/4 from 38
38 - 13 1/4 = 24 3/4 feet from the side of the stage to the edge of the trap door
a little easier way would be to subtract the 26 1/2 from 76 and then divide by 2
76-26 1/2 = 49 1/2 / 2 = 24 3/4
Step-by-step explanation:
https://brainly.com/question/4710320?referrer=searchResults
what is -x when x= -3
( Evaluate the following expression)
\*/ Algebra 1 \*/ [Algebraic Expressions]
kendra revived a bonus that was 30%of her monthly earnings is her monthly earnings were 930 how much was kendras bonus
Hey there! I'm happy to help!
30% is the same thing as 0.3 because 0.3 is 30% of 1. If you multiply something by 1, it will just stay the same, so you need that percent of 1.
To convert a decimal to a percent, you move the decimal to the left two spaces.
Now, we simply multiply this by 930.
0.3×930=279
So, Kendra will receive a bonus of $279.
Have a wonderful day and keep on learning! :D
8x-4(x-3)-3(2x+5)-6
Answer:
8x - 4x + 12 - 6x - 15 - 6
Combine like terms
-2x - 9
If your equation is equal to zero then continue down.
-2x - 9 = 0
-2x = 9
x = -9/2
= -4 1/2
3(x+12)-2=10 Hope you can answer this for me. Thank you so much and have a good day .
Name two rays shown in the figure
Answer:
There are only 1 ray because a ray only has 1 side that has a little tiny ball
Step-by-step explanation:
-3/10q - 8/5q + 9 = 10
Solve for q
Answer:
-1 9/10
Step-by-step explanation:
-3/10q - 8/5q + 9 = 10
-3/10q - 16/10q + 9 = 10
-19/10q + 9 = 10
-19/10q = 1
-19 = 10q
-19/10 = 10q/10
-1 9/10 = q