If Boyce had started investing when he was 20 the amount he would have more than he does in his retirement savings would be b. $321,946.93.
How much more would Boyce have?First convert the interest to a monthly rate:
= 4% / 12 months
= 1 / 3 %
Period:
= (63 - 34) x 12 months a year
= 348 months
Amount saved:
= Amount x ( (1 + rate) ^ number of periods - 1) / rate
= 450 x ( (1 + 1/3%)³⁴⁸ - 1 ) / 1/3%
= $294,811.07
If he started saving at 20, the number of periods would be:
= (63 - 20) x 12
= 516 months
Amount saved:
= 450 x ( (1 + 1/3%)⁵¹⁶ - 1 ) / 1/3%
= $616,758
The difference is:
= 616,758 - 294,811.07
= $321,946.93
Find out more on future value savings at https://brainly.com/question/26662056.
A tool set is on sale for $180 after a markdown of 40% off the regular price. Find the regular
price.
Answer:
$180 + $72 = $252
Step-by-step explanation:
$180 * 40%
$180 * 0.40 = $72
$180 + $72 = $252
PLEASE HELP
Given f(x) = - 5x + 2 g(x) = 1/2 * x + 4 and find f(g(x)) .
Answer:
-5x/2 - 30
Step-by-step explanation:
Oop I placed it in the wrong spot
Place the give into the formula
f(g(x)) = f(x/2+4)
Plug it in
-5(x/2+4)+2
Simplfy
-5x/2-20-10
Answer:
-5x/2 - 30
A metal with a specific heat of 0.900 J/g °C requires 1,040 J of heat to
raise the temperature (the change in temperature) by 5 °C. What is
the mass of the metal
PLEASE HELP GIVING OUT BRAINLEST
Answer:
231.1 gm
Step-by-step explanation:
1040 J / .9 j/(gm-C) / 5C = 231.1 gm
The mass of the metal is 231.111 gram.
What is specific heat?The specific heat capacity of a substance is the heat capacity of a sample of the substance divided by its mass, also known as massic heat capacity.
The formula for heat is given by the formula,
Q = mC(ΔT)
Given the metal has a specific heat of 0.900 J/g °C requires 1,040 J of heat to raise the temperature (the change in temperature) by 5 °C. Therefore, we can write,
Q = mC(ΔT)
1,040 = m × 0.900 × 5
m = 1040/(0.900×5)
m = 231.111 g
Hence, the mass of the metal is 231.111 gram.
Learn more about Specific Heat:
https://brainly.com/question/11297584
#SPJ2
please need help on = 0.35+0.6+____= 1
Answer:
0.59
Step-by-step explanation:
What is the radius and diameter of 4.2
The radius of a circle is the length between a circle's centre and edge.
The diameter of a circle is its radius doubled.
Solving the QuestionThe given diagram tells us the radius is 4.2 cm.
To solve for the diameter, multiply the given radius by 2:
4.2 × 2 = 8.4
Therefore, the diameter of the circle is 8.4 cm.
AnswerRadius: 4.2 cm
Diameter: 8.4 cm
Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. if lucas been able to save this money for the year and then put it into a savings account earning 1.8% simple interest, how much money could he have in savings after 3 more years? a. $1,649.72 b. $1,055.10 c. $1,019.06 d. $1,001.04
The total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.
What is simple interest?Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.
The formula for the simple interest can be given as,
[tex]I=\dfrac{Prt}{100}[/tex]
Here, (I) is the interest amount earned on the principal amount of (P) with the rate of (r) in the time period of (t).
Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. The amount save in a year (12 months) is,
[tex]P=83.42\times12\\P=1001.04[/tex]
The interest earned on this principal amount with earning 1.8% simple interest, after 3 years is,
[tex]I=\dfrac{1001.04\times1.83}{100}\\I=54.06[/tex]
The total total amount in his bank account after 3 years is,
[tex]A=P+I\\A=1001.04+54.06\\A=1055.10[/tex]
Hence, the total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.
Learn more about the simple interest here;
https://brainly.com/question/2294792
Answer:
b.
$1,055.10
Step-by-step explanation:
right on edg 22
What is the area of parallelogram rstu? 21 square units 24 square units 28 square units 32 square units
The area of the considered parallelogram RTSU is given by: Option A: 21 sq. units
How to find the area of a parallelogram?Area of a parallelogram = (its height × its base) sq. units.
What is the distance between two points ( p,q) and (x,y)?The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units[/tex]
For this case, the missing diagram is attached below.
If we take the base as ST then as ST is parallel to y axis, the line perpendicular to ST would be parallel to x axis. The heigth of a parallogram is the perpendicular distance between its base and top.
The base is ST and top is RU, the line segment US is perpendicular to both RU and US and its length,therefore, will serve as height as its length=perpendicular distance between the base and the top of the parallelogram.
Thus, we get:
Area of RTSU = Length of ST × Length of US
The coordinates of endpoints of ST are (4,-1), (4,-4)
Thus, the length of ST = distance between S and T = [tex]\sqrt{(4-4)^2 + (-1 - (-4))^2 }= 3[/tex]
The coordinates of endpoints of US are (-3,-1), (4,-1)
Thus, the length of US = distance between U and S = [tex]\sqrt{(-3-4)^2 + (-1 - (-1))^2 }= 7[/tex]
Thus, Area of RTSU = Length of ST × Length of US = 3 × 7 = 21 sq. units.
Thus, the area of the considered parallelogram RTSU is given by: Option A: 21 sq. units
Learn more about distance between two points here:
brainly.com/question/16410393
Answer:
21 square units I think
Step-by-step explanation:
(- 18) × (- 5) × (- 4) =
Answer:
−360
Step-by-step explanation:
Can you help me with this problem please
Answer:
7 units
Explanation :
Check out my work that I’ve attached
Let me know if you have any questions!
Have a nice rest of your day :)
Here's the rest of the questions
Answer:
A us right of first one and d is the right of another one
What do you guys think question 2,3,4 &5 Is called?
2 - cubic centimeters
3- cubic decimeters
4- cubic centisquare
5- cubic millimeters
( cylinder's unit is in cubic due to formula )
(correct me if I'm wrong)
What is the area of this figure?
Answer:
119 cm²
Step-by-step explanation:
The area of a composite shape can be found by dividing it into shapes whose area formulas you know.
__
Here, the shape can be divided into 3 rectangles by extending the vertical lines through the figure. Left to right, those rectangles are ...
2 wide × 17 hign ⇒ area = (2 cm)(17 cm) = 34 cm²
10 wide × 7 high ⇒ area = (10 cm)(7 cm) = 70 cm²
5 wide × 3 high ⇒ area = (5 cm)(3 cm) = 15 cm²
Then the total area is ...
(34 +70 +15) cm² = 119 cm²
What is the area of the figure triangle sides 3, 4, 8
Answer:
Area of a triangle = (base x height) / 2
if the base is 3 and height is 4
Area = (3x4)/2 = 6 sq units
if the base is 4 and height is 8
Area = (4x8)/2 = 16 sq units
if base is 3 and height is 8
Area = (3x8)/2 = 12 sq units
A coconut falls from the top of a tree and reaches a velocity of 19.6 m/s when it hits the ground. it takes two seconds to reach the ground. what is the coconuts acceleration?
Using the velocity formula, it is found that the acceleration is of a = 9.8 m/s².
What is the velocity formula?It is given by the initial velocity plus acceleration multiplied by time, that is:
v(t) = v0 + at.
In this problem, we have that v(0) = 0, t = 2, v(2) = 19.6, hence:
v(t) = v0 + at.
19.6 = 0 + 2a.
2a = 19.6.
a = 19.6/2.
a = 9.8 m/s².
The acceleration is of a = 9.8 m/s².
More can be learned about the velocity formula at https://brainly.com/question/26408808
hegarty maths angles
Given that A, O & B lie on a straight line segment, evaluate acute ∠COD.
Check the picture below.
Question 17 of 25
After being rearranged and simplified, which equation cannot be solved using
the quadratic formula?
O A. 5x2 – 3x+ 10 = 2x2
B. 2x2 – 3x + 10 = 2x2 + 21
-
O c. x2 - 6x- 7 = 2x
O D. 2x - 4 = 2x2
SUBMIT
Answer:
B. 2x2 – 3x + 10 = 2x2 + 21
Step-by-step explanation:
2x2 – 3x + 10 = 2x2 + 21
Subtract 2x^2 from each side
2x2- 2x^2 – 3x + 10 = 2x2 + 21-2x^2
-3x+10 = 21
This is a linear equation and does not use the quadratic equation to solve
-
how many seconds does it take the second hand of a clock to rotate through an angle of 72
each minute pass by, the second hand rotate 360 degrees while minute hand rotate 6 degrees= 1/60 angle rotation of second hand. Let assume that the starting time is 12:00 hour, zero minute and zero second exactly .
by this simple method you can figure out your answer that what actually it is.
GOOD LUCK !
Round of to the numbers as indicated:
1. 48521
To nearest 10:
To nearest 100:
To nearest 1000:
1. 674502
To nearest 10:
To nearest 100:
To nearest 1000:
3. 3875
To nearest 10:
To nearest 100:
To nearest 1000:
Answer:
See below.
Step-by-step explanation:
1. 48521
To nearest 10: 48520
To nearest 100: 48500
To nearest 1000: 49000 (8 goes up to 9 becasue of the 5)
1. 674502
To nearest 10: 674500
To nearest 100: 674500
To nearest 1000: 675000
3. 3875
To nearest 10: 3880
To nearest 100: 3900
To nearest 1000: 4000
To nearest 10:
= 48520
To nearest 100:
= 48500
To nearest 1000:
= 49000
1. 674502To nearest 10:
= 674500
To nearest 100:
= 674500
To nearest 1000:
= 676000
3. 3875To nearest 10:
= 3880
To nearest 100:
= 3900
To nearest 1000:
= 4000
(if the number your rounding is higher than 5, round the number up)
Find the value of x
A. 8
B. 4
C. 19
D. 24
Given figure is a parallelogram
To Find
Value of"x"
Solution[tex]m \angle \: A = m \angle \: C[/tex]
[tex]2x + 35 = 5x - 22[/tex]
[tex] \implies 2x - 5x = - 22 - 35 \div \\ \implies - 3x = - 57 \\ \\ \implies x = \frac{ - 57}{ - 3} \\ \\ \implies x = \cancel\frac{ - 57}{ - 3} \\ \\ \implies x = 19[/tex]
[tex]\therefore \text{Option C= 19 is the correct answer}[/tex]
Hope this helpsA pound of apples costs $1.30. Sawyer bought 2 1/2 pounds of apples. How much did Sawyer pay?
A.$3.50
B.$3.25
C.$4.00
D.$2.25
2 1/2 pounds = 2.5 pounds
A pound of apples cost $1.30 -> 2.5 pounds of apples cost 1.3 x 2.5 = 3.25
-> Answer : B
i’m confused … i need helo
Help a fella out :)))))))
Answer:
5280 ft/1 mi, 1848 ft
Step-by-step explanation:
Whatever unit is given on the top (miles), you will write it on the bottom of the second fraction. Since we are solving for length in feet, we know that the numerator will be in feet. The only answer choice that has this option is 5280 ft/ 1 mi. You can check this math by taking 0.35 of 5280 feet, or 1 mile = 1848 ft.
[tex]\frac{0.35 mi}{1} *\frac{?ft}{?mi}[/tex]
[tex]\frac{0.35 mi}{1} *\frac{5280 ft}{1mi}[/tex] (miles cancels out, left with feet)
[tex]\frac{1848ft}{1}[/tex]
1848 feet
I hope this helps!
Look At the picture I am not sure how to calculate the area
Answer:
height = 5.33 m (nearest hundredth)
area of wall = 41.66 m² (nearest hundredth)
Step-by-step explanation:
To find the height of A above the ground, find the height of the triangle and add it to the height of the rectangle.
The dashes on the sides of the triangle mean they are equal in length. Therefore, this triangle is an isosceles. If we draw a line down the center of the triangle to create 2 right triangles, their top angles will be 65° (half of 130°) and they will each have a base length of 5 m (see attached diagram).
To find the height, use the tan trig ratio:
[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] = angleO = side opposite the angleA = side adjacent to the angleGiven:
[tex]\theta[/tex] = 65°O = 5 mA = h[tex]\sf \implies tan(65)=\dfrac{5}{h}[/tex]
[tex]\sf \implies h=\dfrac{5}{tan(65)}[/tex]
[tex]\sf \implies h=2.331538291...[/tex]
Therefore, the height of A above the ground:
⇒ height = 3 + 2.331538191 = 5.33 m (nearest hundredth)
----------------------------------------------------------------------------------------
To find the area of the wall, sum the area of the rectangle and the area of the triangle.
Area of rectangle = width x height
= 3 x 10
= 30 m²
Area of triangle = 1/2 x base x height
= 1/2 x 10 x 2.331538191
= 11.65769145 m²
Total area of wall = 30 + 11.65769145 = 41.66 m² (nearest hundredth)
find the inverse of function of a function g=((a,1),(b,2),(2,3),(d,4))
Answer:
g inverse = (1,a),(2,b),(c,3),(4,d)
Step-by-step explanation:
I think the third part of the question should be (c,3) not (2,3)
if it's (2,3) then the inverse becomes (3,2)
Answer:
Inverse of function g = {(1,a),(2,b),(3,2),(4,d)}
Step-by-step explanation:
Hey there! :)
Please see an explanation below for better understanding to the answer - also let me know if you have any questions!
What is Inverse Function?Inverse Function is a function that swaps domain and range.
What are domain and range?Domain is the set of all x-values while Range is the set of all y-values, can be defined in coordinate point as (x,y).
StepsIf (x,y) is an original function then (y,x) will be an inverse function of original.
We are given the function g = {(a,1),(b,2),(2,3),(d,4)} - swap the domain and range.
Therefore, the inverse of function g is [tex]\displaystyle \large{g^{-1}}[/tex] = {(1,a),(2,b),(3,2),(4,d)}
I have a couple of questions I need help with.
This is a multiple answer question:
A) Is 120.2 + 20.03 < 120.003 + 20.20 correct?
B) Is 22 + 7.6 = 20 + 9.600 correct?
C) Is 100.002 + 8.503 > 98 + 10.5 correct?
D) Is 72.2 + 82.3 < 70.6 + 84.1 correct?
any help will be much appreciated
Answer:
b
Step-by-step explanation:
b is correct i think
2
ing a Reflection in the
oordinate Plane continued
angle XYZ is reflected across the y-axis to form
ure X'Y'Z'.
for classroom use.
Step-by-step explanation:
17) no problem were noticed, just:
reflecting across Y-axis changes the coordinate 'x', no changes for coordinate 'y';
reflecting across X-axis changes the coordinate y, no changes for coordinate 'x'.
For more info see the attached picture.
conti. 7-10 thanks a lot!
unhelpful answers will be deleted.
Answers:
10. b. [tex]\displaystyle 13[/tex]
9. b. [tex]\displaystyle 20[/tex]
8. a. [tex]\displaystyle 33[/tex]
7. a. [tex]\displaystyle 25°[/tex]
Step-by-step explanations:
10. Both segments are considered congruent, so turn both expressions into an equation:
[tex]\displaystyle 3x - 5 = x + 7 \hookrightarrow \frac{-12}{-2} = \frac{-2x}{-2} \\ \\ 6 = x[/tex]
Plug this back into the equation to get [tex]\displaystyle 13[/tex]on both sides.
9. All edges in a square obtain congruent right angles and edges, so set [tex]\displaystyle 45[/tex]equivalent to the given expression:
[tex]\displaystyle 45 = 2x + 5 \hookrightarrow \frac{40}{2} = \frac{2x}{2} \\ \\ \boxed{20 = x}[/tex]
8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:
[tex]\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow \frac{165}{5} = \frac{5x}{5} \\ \\ \boxed{33 = x}[/tex]
7. In this rectangle, segment EO is a segment bisectour, making these angles Complementary Angles. Therefore, set an equation up to find its complement:
[tex]\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}[/tex]
I am joyous to assist you at any time.
Peter is saving to buy a new skateboard. He deposits the same amount each week into his savings account. How much money does he save each week?
Week Money in Savings Account
0 $12.00
1 $17.75
2 $23.50
3 $29.25
Find the surface area of a square pyramid with side length 3 cm and slant height 4 cm
Answer:
Image result for Find the surface area of a square pyramid with side length 3 cm and slant height 4 cm
The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .
Step-by-step explanation:
2021 balls are arranged in a row and are numbered from 1 to 2021. Each ball is coloured in one of four
colours: green, red, yellow or blue. Among any five consecutive balls there is exactly one red, one yellow and one blue ball. After any red ball the next ball is yellow. The balls numbered 2, 20 and 202 are green. What colour is the ball numbered 2021?
(A) green
(B) red
(C) yellow
(D) blue
(E) not determined
Answer:
D) blue
Step-by-step explanation:
because the first ball has to be blue
the second ball is green
the third is red
and the fourth one is yellow
so u multiply 1(blue ball)× 2021=blue ball