A deposit of $2000 is invested in an account that earns 4.5% interest. The duration of time before the balance reaches $3000 is 9.2 years.
From the given information;
the principal deposited amount = 2000the annual interest rate = 4.5%the amount (A) estimated in t years = 3000The time required until your balance reaches the amount of 3000 can be estimated by using the given formula;
[tex]\mathbf{A = P ( 1+ r)^t}[/tex]
[tex]\mathbf{3000 = 2000 ( 1+ \dfrac{4.5}{100})^t}[/tex]
[tex]\mathbf{3000 = 2000 ( 1+ 0.045)^t}[/tex]
[tex]\mathbf{3000 = 2000 ( 1.045)^t}[/tex]
[tex]\mathbf{3 = 2( 1.045)^t}[/tex]
[tex]\mathbf{( 1.045)^t= \dfrac{3}{2}}[/tex]
[tex]\mathbf{( 1.045)^t= 1.5}[/tex]
[tex]\mathbf{( 1.045)^t= 1.5}[/tex]
t = 9.2 years
Therefore, we can conclude that the time duration (in years) until your balance reaches $3000 is 9.2.
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i know its easy but i forgot how to do this pls heeeelp me
Answer:
First number line: 3rd line from 0
Second number line: 7th line from 0
(Sorry if I explained it kinda weird, hope this helps!)
Step-by-step explanation:
On the first number line, you would put the dot on the 3rd line from zero. From 0 to one, it's split into 5 equal parts. 0 is 0/5 and 1 is 5/5. So all you do is plot the dot on 3/5, or the 3rd line from 0.
Same thing with the second number line. Except for this time, it's split into 8 equal parts. Just count to the 7th line in between 0 and 1 and plot the dot.
what is the inequality shown here
Answer:
[tex] - 3 \leqslant x < 2[/tex]
I hope I helped you^_^
DeShawn pays 8$ for 12 pounds of sugar. What is the price per pound of sugar
Answer:
DeShawn pays .67 cent per pound of sugar
Select the equation which represents solving for the variable y.
−3x+3y=−21
y=x−7
y=x+7
y=3x−21
y=3x+21
Answer:
y = x-7
Thanks...........
will the point (2, 6) be on the graph of y=3x
Answer:
the answer is yes it will
Answer:
yes
Step-by-step explanation:
since (x,y) is 2,6, we can take x as 2 and y as 6. For the answer to be yes, y=3x must be equal to the x and y values. Lets plug in the values. Is (6)=3(2)?
3 times 2 is 6! So the answer is yes.
I will give brainiest who can help me get this right!!
Answer:
it's D
Step-by-step explanation:
The equation equals 2 1/8 so yeeyeyye
Answer:
Option D
Step-by-step explanation:
11/8=1.3750
3/4=0.75
Now,
Since, this is the sum both the lines must be in positive in direction.
Option D is the only one with such quality, so no further process is required.
Triangle ABC is shown. What value of x will prove that Triangle ABC is a right triangle?
In the given triangle ABC in the figure, the value obtained for x will be equal to 6.
What is a triangle?The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.
As per the given information in the question,
Use the equation of Pythagoras' theorem,
h² = p² + b²
(2x - 2)² = x² + (x - 2)²
4x² - 2(2x)(2) + 4 = x² + x² + 4 + 4x
4x² - 8x + 4 = 2x² + 4x + 4
4x² - 2x² - 8x - 4x + 4 - 4 = 0
2x² - 12x = 0
2x² - 12x = 0
2x(x - 6) = 0
So,
2x = 0
⇒ x = 0, it is not possible.
Or,
x - 6 = 0
x = 6
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The given question is incomplete, the complete question might be in the attachment.
The perimeter of a rectangle window is 362 cm. If the length of the window is 97 cm, what is its width?
Answer:
w=84cm
Step-by-step explanation:
97
cm
P Perimeter
362
cm
Using the formula
P=2(l+w)
Solving forw
w=P
2﹣l=362
2﹣97=84cm
Sorry explanation is short, hope i helped u
(20 POINTS, RIGHT ANSWER ONLY PLEASE)
What value is needed to prove the triangles are similar by SAS~?
A market research firm is studying the effects of price and type of packaging on sales of a particular product. Twenty-seven stores with shoppers of similar characteristics will be used in the study. The nine combinations of three price levels and three packaging types are the treatments of interest. Total sales of the product over a seven-week period will be recorded. Which of the following describes the best design to use for the study?
a. А A completely randomized design Randomly assign the nine combinations of price level and packaging type that three stores use each combination
b. A completely randomized design. Randomly assign the three price levels so that nine stores use each price level
c. A completely randomized design. Randomly assign the three packaging types so that nine stores use each type of packaging
d. A randomized block design Use packaging as a block. Randomly assign the nine combinations of three price levels and three packaging types so that three stores use each combination
e. A randomized block design. Use packaging as a block Randomly assign nine stores to each packaging type, then randomly assign price level to three stores within each block.
The market research can increase the precision of the result of the study by
using a randomized block design RBD
The best design the market research company should use for the study is
d. A randomized block design Use packaging as a block. Randomly assign
the nine combinations of three price levels and three packaging types so
that three stores use each combination
Reason:
The given parameters are;
The study = The effect of price and type of packaging
Number of stores in the study = 27 stores
Characteristics of the shoppers in the stores = Similar
Number of packaging type = 3 (three)
Number of price levels = 3 (three)
The number of pair combinations = ⁶₂C - (3, pairs of the same packaging +
3, pairs of the same prices) = 9
Required:
The best design to use for the study
Solution:
Given that the shoppers at each store are similar, in order to differentiate
and show the effect of the price and package combination, it is possible to
group the treatment into groups having a particular characteristics, while
ensuring that the other available treatments are assigned to each member
within a group at least once.
The above design of the study is known as a randomized block design,
therefore;
The correct option is d. A randomized block design Use packaging as a
block. Randomly assign the nine combinations of three price levels and
three packaging types so that three stores use each combinations.
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(5x-7y)-(2x+y) expression thats equivalent plzzzzzz help fast
Answer:
(3x-8y) is equivalent
Step-by-step explanation:
Answer:
[tex](5x - 7y) - (2x + y) \\ 5x - 7y - 2x - y \\ collecting \: like \: terms \: \\ 5x - 2x - 7y - y \\ 3x - 8y[/tex]
How many lines can be drawn through C that would be parallel to AB?
answer choices:
None
1
2
3 or more
Answer:
just 1 line cuz ab is already drawn and we have to draw one linewhich is parallel to ab.
Answer:
2 lines
Step-by-step explanation:
Connie has 5/8 and wants to divide it by 1/4 what is her answer
Answer:
2.5 . get the Desmos calculator .
Cho tam giác ABC vuông tại A , đường cao AH . Gọi D và E lần lượt đối
xứng với H qua các cạnh AB và AC
a) C/m D, A , E thẳng hàng
b) C/m BCED là hình thang
c) C/m 0 90 DHE
Answer:
Sorry i don't speak Vietnam so i can't help you if you write it in English i will have a chance to help you
I suppose only 24% of 300
students choose conserve natural resources how many students choose conserving natural resources explain how you got your answer and how to find the model help you justify the answer
Answer:
it's all about materialistic gain.
write the log equation as an exponential equation. you do not need to solve for x.
After conversion into exponential equation :
[tex] {8}^{3x - 4} = 5x + 4[/tex]
Mike went to the store to buy shirts. The shirts were $45 each. The store was offering the following discount:
Buy 1 shirt at regular
price and get any 2
shirts of the same
price for 40% off!
Mike decided to buy 3 shirts. Not including sales tax, how much money did Mike save by buying the shirts at the discounted price?
$36
$54
$81
$99
Answer:
Mike saved 54 dollars
Step-by-step explanation:
because 40% of $45 is $18. so that makes the other 2 shirts 27 dollars a piece. so he saves a lot of money.
Lydia's bedroom has an area of 108 square feet. The length of the room is 12 feet long. What is the width of the room?
Answer: 9 Feet
Step-by-step explanation:
Answer:
hey it's the A xbxjdjdjdjdnd
Help plz!!!!!!!!!
*tysm*
-7.5x = -5.61 - 0.39
x = -6 /-7.5
x = 0.8
which graph shows a non proportional relationship between x and y
how do I solve this problem
2|x+7|-5=15
Answer: x=3 or x=-17
Step-by-step explanation: go to mathpapa.com and type the question. then click step by step it is really helpful.
30 points for the correct answer
Answer:
its either 2/9 or 2/3
Step-by-step explanation:
I solved the top part and got 2/3 and i solved the bottom part and got 1/3 and you can multiply 2/3 and 1/3 and got 2/9
swine flu is attacking the north pole. the function below determines how many elves have swine flu where t=time in days and S= the number of people in thousands.
S(t)=9t - 4. find S(4)
Answer:
S(4) = 32
Step-by-step explanation:
Work on photo !
please help thank you
Answer:
[tex]x - 2 = 0 \\ x = 2 \\ p(2) = 0 \\ {2}^{4} - d {2}^{3} + 8 \times {2}^{2} - 14 \times 2 + 16 = 0 \\ 16 - 8d + 32 - 28 + 16 =0 \\ 8d = 36 \\ d = 36 \div 8 = 4.5[/tex]
enjoy it
Can someone please help me solve for x
Answer:
x = 8
Step-by-step explanation:
These two angles both containing an x are equal. They are called vertically opposite angles.
2x + 62 = 5x + 38 Subtract 2x from both sides
2x-2x + 62 = 5x -2x + 38 Combine
62 = 3x + 38 Subtract 38 from both sides
62 - 38 = 3x - 38 + 38 Combine
24 = 3x Divide both sides by 3
24/3 = 3x/3 Combine
8 = x
Wich of the following letters are real and not real numbers?
A: -6
B: √-1
C: 3/5
D: 0.25
E: √9
F: 64
G: √5
Answer:
F.64
D. 0.25
i guess that is it
Please help me solve this problem
Answer:
（4x＋2）*2＋（6x）*2＝84feet
8x＋12x＋2＝84
20x＋2＝84
20x＝82
x＝4.1
18.4*24.6＝452.64
ans：452.64
BC has a midpoint at M(6, 6). Point C is at (2, 10). Find the coordinates of point B.
Answer:
The coordinates of B are (10,2)
Step-by-step explanation:
Hi there!
We know that BC has a midpoint M, with the coordinates (6,6), and the endpoint C, with coordinates (2, 10)
We want to find the coordinates of point B
The midpoint formula is [tex](\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2 , y_2)[/tex] are points. In this case, the point C has the values of [tex](x_1, y_1)[/tex], and B has the values of [tex](x_2 , y_2)[/tex]
We know that coordinates of M equal [tex](\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})[/tex]
In other words,
[tex]\frac{x_1 + x_2}{2} = 6\\ \frac{y_1+ y_2}{2}=6[/tex]
Let's plug 2 for [tex]x_1[/tex] and 10 for [tex]y_1[/tex]
So:
[tex]\frac{2 + x_2}{2} = 6\\ \frac{10+ y_2}{2}=6[/tex]
Multiply both sides by 2
[tex]{2 + x_2} = 12\\{10+ y_2} =12[/tex]
Subtract 2 from both sides in the first equation to find the value of [tex]x_2[/tex]:
[tex]x_2=10[/tex]
Now, for the second equation, subtract 10 from both sides to find the value of [tex]y_2[/tex]
[tex]y_2=2[/tex]
Now substitute these values for [tex](x_2, y_2)[/tex]
[tex](x_2, y_2)=(10,2)[/tex]
So the coordinates of point B are (10, 2)
Hope this helps!
How many songs can you play from 6:00 to 10:00
Answer:
Using common knowledge each song is about 2 minutes and 50 seconds, so you can listen to about 100 songs, maybe more
Step-by-step explanation:
6-10=4hrs
4 hours divided by 2:50=
4 hours= 280 Minutes, 2:50 can be rounded to 3min, 280/3=93.3333333333
In other words, you can estimate to 94.
So the answer should be around 94
If possible brainliest?
What is a rule that describes the translation that maps triangle ABC onto triangle A'B'C'?
A.T< 5, 3 >(ABC)
B. T< −5, 3 >(ABC)
C. T< 5, −3 >(ABC)
D. T< −5, −3 >(ABC)
Answer:
the answer is D.
Step-by-step explanation:
I took the test and got it right!