Need help with this
Samuel is going to invest in an account paying an interest rate of 5% compounded
continuously. How much would Samuel need to invest, to the nearest dollar, for the
value of the account to reach $77,000 in 9 years?
Answer:
49097
Step-by-step explanation:
Well the answer was in delta math what can I say
Answer:
$49677.4
Step-by-step explanation:
Given data
Interest rate r= 5%
Final amount A = $77,000
time t= 9 years
let us apply the compound interest formula
[tex]A=P(1+r)^t[/tex]
Substitute
[tex]77000=P(1+0.05)^9\\\\77000=P(1.05)^9\\\\77000=P*1.55[/tex]
Divide both sides by 1.55
P=77000/1.55
P=$49677.4
Hence the principal amount should be $49677.4
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 95 kilograms. A delivery of 2 large boxes and 6 small boxes has a total weight of 68 kilograms. How much does each type of box weigh?
Answer:
Each large box weighs 15.25 kg, and each small box weighs 6.25kg
Step-by-step explanation:
Let's define the variables:
A = weight of a large box.
B = weight of a small box.
We know that:
"A delivery of 5 large boxes and 3 small boxes has a total weight of 95 kilograms."
We can write this as:
5*A + 3*B = 95 kg
We also know that:
"A delivery of 2 large boxes and 6 small boxes has a total weight of 68 kilograms."
2*A + 6*B = 68kg
Then we have the system of equations:
5*A + 3*B = 95 kg
2*A + 6*B = 68kg
To solve this, the first step is to isolate one of the variables in one of the equations.
I will isolate the variable A in the second equation:
A = 68kg/2 - 6*B/2 = 34kg - 3*B
A = 34kg - 3*B
Now we can replace this in the first equation:
5*( 34kg - 3*B) + 3*B = 95 kg
170kg - 15*B + 3*B = 95 kg
170kg - 12*B = 95 kg
170kg - 95kg = 12*B
75kg = 12*B
75kg/12 = B = 6.25kg.
Now we can replace this on the equation A = 34kg - 3*B to find the value of A.
A = 34kg -3*6.25kg = 15.25kg
Solve the following equation.
|x − 12| + 6 = 56
A.
x = 62 or x = -38
B.
x = 74 or x = -74
C.
x = 50 or x = -50
D.
x = 38 or x = -62
Answer:
[tex] |x - 12| + 6 = 56 \\ x - 12 + 6 = 56 \\ x - 6 = 56 \\ \boxed{x = 62} \\ |x - 12| + 6 = 56 \\ - (x - 12) + 6 = 56 \\ 12 - x + 6 = 56 \\ - x + 18 = 56 \\ - x = 38 \\ \boxed{x = - 38} \\ \boxed{A. \: x = 62 \: or \: x = - 38}[/tex]
WILL MAKE YOU BRAINLISTT
Answer:
x = 200 students
y = 300 non-students
hope that helps
Please help me with my homework!!!!
Answer: -19 i think
Step-by-step explanation:
y = 5x - 10
Can you solve for x
Answer:
[tex]x = \frac{1}{5}y + 2[/tex] or [tex]x = \frac{y+10}{5}[/tex] (Not sure which one is preferred in your case)
Step-by-step explanation:
Key skills needed: Evaluating expressions
1) We are given: [tex]y = 5x-10[/tex]
2) To solve for the x variable, we want to leave the term with "x" by itself.
This means we add 10 to both sides
--> [tex]y + 10 = 5x[/tex] (Since -10 and +10 cancel out to make 0 or nothing)
3) Then we divide by 5 on both sides to get "x" completely by itself.
-----> [tex]\frac{y+10}{5} = x[/tex]
4) You can keep it as is so --> [tex]x = \frac{y + 10}{5}[/tex]
or you can divide "y" by 5 and "10" by 5 and get --> [tex]x = \frac{1}{5} y + 2[/tex]
(I am not sure which form is preferred one is preferred as the teacher matters)
Hope you understood and have a nice day!!
-7-y=0 7x+8y=-6 subtract
Does anyone knows the answer it’s worth 40 points!!!
Answer: (6,8)
Step-by-step explanation:
Answer:
(6,8)
Step-by-step explanation:
The second angle of a triangle is three times as large as the first angle. The third angle is 40° greater than the first angle. How large are the angles?
Hal is going over the credit scores he received from the three major credit bureaus. He Experian score is 711, his
Equifax score is 736, and his TransUnion score is 736. What is the mode of Hal's credit scores? (Round to the nearest
whole point, if applicable.)
736
b 728
723
d There is no mode in this group
a
С.
Please select the best answer from the choices provided
A
B
ОООО
C
D
Mark this and retum
Save and Exit
Next
Submit
Answer:
A
Step-by-step explanation:
It is letter A I got 100!
Answer:
A
Step-by-step explanation:
EDGE 2021
BRAINLIEST
please help and leave a small explanation :)
Answer:
180-118= 62
Answer is angle E= 62
Step-by-step explanation:
Vertical opposite angle of 118 is 118
So, we found out the interior angle. And sum of interior angles is 180. So you subtract 118 from 180 to get angle E.
Hope this helps!!!
Answer:
E is 62
Step-by-step explanation:
First find any angle relationships with the angle 118.
You can see that 118 can go next to E (corresponding angles).
That is a straight line, so in total it will 180 degrees.
180-118 would be E.
180-118 is 62.
hope this helps! :)
If 2x +4=b, then 6x + 12=
Answer:
3b
Step-by-step explanation:
(2x+4)*3=b*3
6x+12=3b
That is what i learned from school, hopes this helps
find the total surface area of this cone leaving you answer in terms of pi radius 5 cm
Answer:
70pi cm^2
Step-by-step explanation:
The total surface area of a cone is given by its curved surface area plus its base.
The base area would be
[tex]\pi {r}^{2} [/tex]
so the base area is 25pi cm^2.
The curved surface area is given by
[tex]\pi rl[/tex]
which is pi times 5 times 9 i.e. 45pi cm^2.
The total surface area would therefore be 70pi cm^2, by adding them up together.
Write this number in standard form.
Two million four hundred sixty-nine thousand five hundred fifty two
Answer:
2,469,552
Step-by-step explanation:
Can someone write it on paper so I can copy
Answer:
453/ 2 = 226.5 rounds to 227
672/ 5 = 134.4 rounds to 134
1,294/ 4 = 323.5 rounds to 326
Step-by-step explanation:
-5+7p=58
[tex] [/tex]
-5+7p=58
Answer:
you just changfe it as u switch it
Step-by-step explanation:
(2,3)
(3,2)
(3,4)
(3,-2)
Answer:
(3,2)
Step-by-step explanation:
Right now point A is at the coordinates (3,2)
When you reflect the shape at line x = 3, point A is at the same x-axis, in which your supposed to reflect it on.
So when you reflect the shape, point A wont move, it will stay in the same colinear and coplanar plane which is (3,2)
Divide the following complex numbers:
(3+ i) / (2-3i)
O A. - 3 - 1
O B. 1 3 - 1
}
C
9 11
+
13 13
D.
3 11
5
Answer:
Standard complex form 3/13 + 11/13i
Step-by-step explanation:
not sure if this helps
Which of the following graphs represents a function?
9514 1404 393
Answer:
(a) see below
Step-by-step explanation:
The graph that has no two points one above the other is the graph of a function. That is the first of your attachments.
Enter a numerical expression for the word expression.
11 decreased by 8
find the surface area of the triangular prism help plzzz
Answer:
790 m^2
Step-by-step explanation:
well in the figure we have to areas
the rectangle of the side (2)the triangle (2)the rectangle of the base (1)the rectangle of the side
well the area of the rectangle is base times height
we have a base of 11 and a height of 17
[tex]A_{rs}=11*17\\\\A_{rs}=187[/tex]
the triangle
well the area of a triangle is base times height over 2
we have a base of 16 and a height of 15
[tex]A_t = \frac{16\cdot 15}{2}\\\\A_t= 8\cdot15\\\\A_t=120[/tex]
the rectangle of the base
we have a base of 16 and a height of 11
so
[tex]A_{rb} = 16\cdot 11\\\\A_{rb} = 176[/tex]
so the total area is
[tex]A_T = 2(A_{rs})+2(A_{t})+1(A_{rb})\\\\A_T= 2(187)+2(120)+1(176)\\\\A_T=374+240+176\\\\A_T = 790[/tex]
so that's our answer the surface area is 790 m^2
Can I get some help plz
Probability! Always struggled with these Plz Help
Answer:
B) The probability that the arrow will point to blue is more than 1/4
Step-by-step explanation:
The blue area makes up 1/3 of the pie chart, and 1/3 > 1/4
Rana and Josie are cooking food for a party they need to cut up the food so people can share your she makes two small pepperoni pizzas there are four people who was share the pizza how much will each person get
Answer:
sdfshefvhwedsbdhcfbHISE
Step-by-step explanation:
FSDSd
In a box there are 9 action, 12 Disney, 8 horror, 11 mystery and 4 SciFi movies. What is the probability of selecting horror or mystery movie?
Round your answer to the nearest thousandth. For example: 0.500 or 0.999
======================================================
Explanation:
There are 8+11 = 19 movies that are either horror or mystery.
This is out of 9+12+8+11+4 = 44 movies total.
Divide the two sums to get 19/44 = 0.43181818181818 approximately.
This rounds to 0.432
There's roughly a 43.2% chance of picking a horror or mystery movie.
Find the midpoint of the segment with the following end points (10,5) and (6,9)
Answer:
The mid-point between the endpoints (10,5) and (6,9) is:
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]Step-by-step explanation:
Let (x, y) be the mid-point
Given the points
(10,5)(6,9)Using the formula to find the mid-point between the endpoints (10,5) and (6,9)
[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
Here:
[tex]\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)[/tex]
Thus,
[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)[/tex]
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]
Therefore, the mid-point between the endpoints (10,5) and (6,9) is:
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]I bought a pizza Alexis ate 3/4 of the pizza how much pizza do I have left???
Answer:
8/7 left, Hope i helped :)
Step-by-step explanation:
Answer:
yyyyyyyyyyyyyyyyyyyyyyyyyyyuujuuju
Step-by-step explanation:
HI dude was good
Rewrite the product using the Distributive Property. Then simplify.
1) 2(4 + 7)
2) 3(1/3 - p)
Answer:
[tex]2(4 + 7) = 22[/tex]
[tex]3(\frac{1}{3} - p) = 1 - 3 p[/tex]
Step-by-step explanation:
Given
1 & 2
Required
Rewrite and simplify
[tex]1.\ 2(4 + 7)[/tex]
Apply distributive property
[tex]2(4 + 7) = 2 * 4 + 2 * 7[/tex]
[tex]2(4 + 7) = 8 + 14[/tex]
[tex]2(4 + 7) = 22[/tex]
[tex]2.\ 3(\frac{1}{3} - p)[/tex]
Apply distributive property
[tex]3(\frac{1}{3} - p) = 3*\frac{1}{3} - 3 * p[/tex]
[tex]3(\frac{1}{3} - p) = \frac{3}{3} - 3 * p[/tex]
[tex]3(\frac{1}{3} - p) = 1 - 3 * p[/tex]
[tex]3(\frac{1}{3} - p) = 1 - 3 p[/tex]
Which point is located at the origin?
2
B
14
10
1
A
B
C
D
Answer:
Point A is located at the origin because to origin is (0,0)
Step-by-step explanation:
Answer
A because the origin is at 0,0 and point A is at 0,0
Step-by-step explanation:
A is answer is 0,0.On the flat coordinate plane, there are two axes, the vertical y-axis and the horizontal x-axis. The origin is the point where they intersect.
-Hope this helped