Answers
Answer: 1517.54
Step-by-step explanation:
So we can divide solving this question into two parts: the 2% compound interest and the 5% compound interest.
We know that the compound interest equations is A = P(1+r/n)^nt where:
A is final amount
P is principal (initial) amount
r is interest rate
n is number times interest compounded
t is number of time periods
Given this, in the 2% compound we know:
A = ?
P = 1200
r = 2%
n = 1 (because it didn't say how many times compounded so we assume 1)
t = 2
This becomes:
A = 1200 (1 + (0.02/1))^ 1 * 2
A = 1248.48
Because we switching to 5% from 2%, we can assume that the final amount from the 2% will be the initial amount in the 5%. Thus:
A = ?
P = 1248.48
r = 5%
n = 1
t = 4 (because there were 6 years in total and we used 2 years for 2%)
This becomes:
A = 1248.48 (1 + (0.05/1))^ 1 * 4
A = 1517.54
Related Questions
Find two sets of values for c and d such that
16c = 2d
Answers
Answer:
both 0 is one and c = 1 while d = 4 is another
Step-by-step explanation:
Find the unit rate.if 5 pounds of potatoes cost $8.60, how much does one pound of potatoes cost.
Answers
Answer:
1.72
Step-by-step explanation:
8.60= 5 Pounds
So you divide by 5
8.60/5
1.75
PLZZZZ HELP!!!!!
I WILL GIVE BRAINLIEST AND 5 STAR AND 20 POINTS!!!
C=5/9 - (F−32)
Answers
Answer:
32 °F
Sorry if I'm wrong
Step-by-step explanation:
Which of the following written expressions can be true for the algebraic expression 3n?
3 less than a number n
3 combined with a number n
the quotient of 3 and a number n
3 times a number n
3 multiplied by a number n
The product of 3 and a number n
3 increased by a number n
No
Answers
Step-by-step explanation:
I'm wondering this too..
What is the slope of the line?
Answers
Answer:
The slope is 1/3
Step-by-step explanation:
you go up one whole unit and to the right 3 whole units.
Answer: Its Just a line explaning how it is long
Step-by-step explanation:
the line rpresents all
asap plssssss helpppppppp
Answers
Answer:
Answers are below.
Step-by-step explanation:
1. b - [tex]c^{2}[/tex]
2. 24/2a
3. 150 - (6 + b)
4. 2c + 10
5. 35 - m
6. 4m
7. (g + 4) 2
8. m - 5 / 4
hope this helps and is right. p.s. i really need brainliest :)
Decide weather Triangle ABC and triangle DEF are similar, not similar, or cannot be determined from the given information
Answers
Answer: The triangles are not similar
=====================================================
Explanation:
Let's focus on triangle ABC. The given angles are
A = 57B = 92Now let's find angle C
A+B+C = 180 .... all angles of a triangle add to 180
57+92+C = 180
149+C = 180
C = 180-149
C = 31
We'll use the same idea to find the missing angle in triangle DEF
D+E+F = 180
D+92+41 = 180
D+133 = 180
D = 180-133
D = 47
--------------------
To summarize the angle measures we found were:
C = 31D = 47Note that while the "92"s match up (angle B and angle E), we don't have any other matches. The two triangles must have all three angles have a match somewhere in order for the triangles to be similar. Similar triangles have their corresponding angles the same measure, but the corresponding side lengths may or may not be the same.
If we had D = 57 and F = 31, then this would lead to triangles ABC and DEF being similar; however, we don't have such a thing going on. Therefore, the two triangles are not similar.
Ruby uses 3/8 of a cup of blueberries for her smoothie. If she has 4 1/2
cups of blueberries, how many smoothies can she make? PLEASE HELP ASAP I ONLY HAVE 5 MINUTES
Answers
Answer:
12 smoothies
Step-by-step explanation:
9/2 ÷ 3/8 = 12
Brenya Estate produces a high quality tea branded A, B and C in the ration 1.5: 5: 1. Originally Type A tea costs 1600, type B costs 800 and type C costs 1700 per kg to produce. Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per kg. Determine the production cost for a packet of super tea
Answers
Answer:
The production cost for a packet of super tea is 924.
Step-by-step explanation:
The production cost of the Super tea is given as
[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}[/tex]
Here the costs are given as following
[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg[/tex]
Here
Ratio of A is 1.5Sum of Ratios is 1.5+5+1=7.5Weight is 825 g or 0.825kgCost of A per kg is 1600So
[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg\\Cost_A=\dfrac{1.5}{7.5} \times 0.825 \times 1600\\Cost_A=264[/tex]
The cost of A is 264.
Similarly
[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg[/tex]
Here
Ratio of B is 5Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of B per kg is 800[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg\\Cost_B=\dfrac{5}{7.5} \times 0.825 \times 800\\Cost_B=440[/tex]
The cost of B is 440.
Also
[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg[/tex]
Here
Ratio of C is 1Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of C per kg is 1700[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg\\Cost_C=\dfrac{1}{7.5} \times 0.825 \times 1700\\Cost_C=187[/tex]
The cost of C is 187.
Now the packaging and blending cost for the given package is calculated as
[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}[/tex]
Here
Weight is 825 g or 0.825kgCost of packaging and blending per kg is 40[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}\\Cost_{packaging\ and\ blending}=0.825*40\\Cost_{packaging\ and\ blending}=33[/tex]
Cost of packaging and blending per packet is 33.
So now substituting values of costs in the following equation gives:
[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}\\Cost_{super\ tea}=264+440+187+33\\Cost_{super\ tea}=924[/tex]
The production cost for a packet of super tea is 924.
El radio de la base de un cono circular recto mide 18.8 cm. ¿Cuál es el mayor valor que se puede tomar la altura h, para que el volumen sea máximo 416.4 centímetros cúbicos?
Answers
Respuesta:
21,16cm
Explicación paso a paso:
Volumen de un cono = 1 / 3πr²h
r es el radio de la base del cono
h es la altura del cono
Dados los siguientes valores
radio r = 18,8cm
Volumen = 416,4 centímetros cúbicos
Sustituir en la fórmula y obtener la altura.
Volumen de un cono = 1 / 3πrh
416,4 = 1 / 3π (18,8) h
416,4 = 1/3 * 3,14 * 18,8 h
416,4 = 19,6773h
Intercambio
19,6773h = 416,4
h = 416,4 / 19,6773
alto = 21,16 cm
Por lo tanto, el valor más grande que se puede tomar para la altura h, por lo que el volumen es un máximo de 416,4 centímetros cúbicos es 21,16 cm.
Answer:
21,16cm
Step-by-step explanation:
Espero que esto ayude
Which situation has the lowest cost per can?
8 cans for $4.88
12 cans for $7.20
2 cans for $1.68
10 cans for $5.80
Answers
Answer:
10 cans for $5.80
Step-by-step explanation:
The ratio of nonfiction books to total books on Caleb's bookshelf is 7:10. What does this mean?
A:Caleb has seven nonfiction books and 10 fiction books on his bookshelf.
B:On his bookshelf Caleb has exactly 10 books total, seven of which are nonfiction.
C:On his bookshelf Caleb has exactly 10 books total, seven of which are nonfiction.
D:Out of every 10 books total on Caleb's bookshelf, 7 are nonfiction.
Answers
Answer:
D, Out of every 10 books total on Caleb's bookshelf, 7 are nonfiction.
Step-by-step explanation:
When we are dealing with ratios it is common to hear phrases such as "for every". In this circumstance for every 10 books Caleb has on his bookshelf, 7 of them are always nonfiction. This can also be used if we want to expand the ratio, for example, 14:20. The ratio would still be equivalent to 7:10 because each factor increased at the same rate.
2. Christine can bake cookies for a school bake sale to
raise money for the school's soccer team in 9 hours. If
her friend, Emily, on the soccer team helps her, it only
takes 4 hours. How long would it take Emily to bake the
cookies alone?
Answers
Answer:
the time taken by Emily to bake the cookies alone is 7.2 hours
Step-by-step explanation:
The time taken by Emily to bake the cookies alone is shown below:
Given that
Christine can bake cookies in 9 hours
And, if her friend Emily is also helps her so it only takes 4 hours to bake the cookies
Now based on the above information
[tex]\frac{1}{9} + \frac{1}{x} = \frac{1}{4} \\\\\frac{1}{x}= \frac{1}{4} - \frac{1}{9} \\\\\frac{1}{x}= \frac{9 - 4}{36} \\\\\frac{1}{x}= \frac{5}{36} \\\\x = \frac{36}{5}\\\\= 7.2 hours[/tex]
Hence, the time taken by Emily to bake the cookies alone is 7.2 hours
What is the area of the triangle?
6
21
units
Answers
Answer:
63 units²
Step-by-step explanation:
The formula for the area of a triangle is 1/2(bh).
1/2(21 * 6)
1/2(126)
63
The area of the triangle is 63 units².
Answer:
63 units²
Step-by-step explanation:
The formula for the area of a triangle is 1/2(bh).
1/2(21 * 6)
1/2(126)
63
The area of the triangle is 63 units².
503.74 - 276.21 pls help need answer nowwwwww
Answers
Answer:
227.53
Step-by-step explanation:
503.74 - 276.21 = 227.53
A rectangular garden has an area of 3/7 square miles. If its length is 2/8 miles, what is its width?
Answers
Answer:
3/7 divided by 2/8 would be your simple equation to find the missing length:
3 8
__ x ___ = 24/14 *simplify* 1 10/14 *simplify more* 1 5/7
7 2
Step-by-step explanation:
Make the divisor a reciprocal (just turning the fraction upside down) then turn the division sign into a multiplication sign and do multiplication across to get your final answer, 1 5/7 is your answer.
Whenever finding a missing side length always divide the area by the known given length.
have another one that I need done ASAP please and thank u!!!
Answers
Answer:
1/3
Step-by-step explanation:
(-6,0) (-3,1)
1-0/ -3 - -6 = 1/3
Can anyone help me on this please?
Answers
Answer:
x = 6
y = 12
z = 12√2
Step-by-step explanation:
Sheila buys 33 kg of rice, 9 kg of cornmeal and a certain amount of flour at the supermarket. The amount of flour bought is a third of the amount of rice bought. How much flour was bought?
Answers
Answer: 11kg
Step-by-step explanation:
flour = 1/3 of rice
flour = 1/3 x 33 or 33/3
flour = 11kg
pls help with this immediately!!! (only answer if u know bc i cannot get this wrong so don’t try guessing. i’ll be giving brainiest to those with the correct answer. don’t leave a link or u will get reported)
Answers
Answer:
your answer should be $16.50 :)
Step-by-step explanation:
Answer:
16.5
Step-by-step explanation:
So lets find the change i savings for each week.
To do this, just subtract the value of the 1st week by the value of the 0th week:
7.50-6.50
=
1
So now we know for each week that passes, Henry's savings grows by 1 dollar.
Now, lets multiply the 1 dollar for each week by 10 weeks:
(dollar per week) x (amount of weeks)=(dollars for 10 total weeks)
1x10
=
10
Now that we know in 10 weeks Henry's savings increases by 10, lets add it to the orginal amount.
(Orginal amount) + (dollars for 10 total weeks) = (Total amount in savings)
6.50+10
=
16.5
Hope this helps! ;)
Drag the tiles to write a numerical expression for the following calculation.
Divide the difference between 70 and 20 by 25.
Answers
Solve the following equations 3x-5=40
Answers
Answer:
x=15
Step-by-step explanation:
3x−5+5=40+5
3x=45
Step 2: Divide both sides by 3.
3x3=453
x=15
Answer:
x = 15
Step-by-step explanation:
3x - 5 = 40
add 5 to each side of the equation:
3x - 5 + 5 = 40 + 5
simplify:
3x = 45
divide both sides by 3:
3x/3 = 45/3
simplify:
x = 15
A bag cohtains 4 red marbles, 5 blue marbles and 3 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be blue?
Answers
Answer:
5/12
Step-by-step explanation:
total number of marble is 12 total number of blu is 5
Answer:
12.5%
Step-by-step explanation:
you have 7 reds of 14 total.
the 1st marble has 7 of 14 probability of being red
the 2nd has 6 of 13 of being red
the 3rd has 5 of 12 of being red
multiplying this out you have:
(7/14)*(6/13)*(5/12)=210/2184
THAT will condense down to 5/52 or 9.615%
this does assume not placing the balls back in between draws
if you do put them back in between draws you would have 7 of 14 chance each draw
that would give you by multiplying out
(7/14)*(7/14)*(7/14)=343/2744
that condenses to 1 of 8 or 12.5%
Given y varies directly as x, find the constant of variation k.
Answers
A storage container in the shape of a right cylinder is shown in the diagram. What is the volume
of this container?
A 56.55 in
8. 125.66 in
C251.33 in
D. 502.65 in
Answers
Answer:
D
Step-by-step explanation:
502.65
goodluck on your test
Answer:
The volume of the container in the form of a right cylinder is 502.4 cubic inches.
Step-by-step explanation:
What is volume?
Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
What is right cylinder?
A right circular cylinder is a three-dimensional solid shape that consists of two parallel bases linked by a closed circular surface.
The volume of a right cylinder is,
[tex]V=\pi r^{2} h[/tex]
Here, r=4in and h=10in
[tex]V=3.14*4^{2} *10\\V=3.14*16*10\\V=502.4[/tex]
Hence, the volume of the container is 502.4 cubic inches.
To know more about volume, right cylinder here
https://brainly.com/question/27661314
# SPJ2
If angle obc=90, angle boc =35 what is the measure of angle bco??? Help this is due today!!
Answers
Answer:
∠BCO = 55°
Step-by-step explanation:
The sum of all the angles in a triangle is always 180°, so we need to subtract 90° and 35° from 180° to get ∠BCO.
180° - 90° - 35° = 55°
Fast HURRY PLEASE HELP
Answers
Answer: i would say c sorry if im wrong
Step-by-step explanation:
Answer:b
Step-by-step explanation:
At Jefferson High School, there are 250 students who drive to school and 375 students who ride the bus to school. The statement below is incomplete.
The number of students who drive to school is ___ % of the number of students who ride the bus to school.
Which equation can be used to solve for the blank and complete the statement above?
A. p=250/375
B. p=375/250
C. p=375/625
D. p=250/625
Answers
Answer:
D
Step-by-step explanation:
250 +375=625
250/625 × 100= 40%
Determine if the two triangles are congruent. If they are state the condition
Answers
Answer:
They are congruent, SAS, hope am right, wasn't sure about this
Solve for b in this equation. 11 - b = 6
Answers
Answer:
5
Step-by-step explanation: