Jennifer invested $400 at 6% interest compounded continuously. Write a model m(t) that represents the money in Jennifer's account in t years. A. B. How much money is in Jennifer's account after 5 years? Round to the nearest cent. C. Approximately when will Jennifer have $800 in her account? Round to the nearest tenth of a year.
Answer:
11.5 years
Step-by-step explanation:
Given data
Principal= $400
Rate= 6%
For the compound interest at time t, the expression is given as
A= P(1+r)^t
Substitute
A= 400(1+0.06)^t
A=400(1.06)^t
B. How much money is in Jennifer's account after 5 years
put t= 5
A=400(1.06)^5
A=400*1.338
A=$535.2
C. Approximately when will Jennifer have $800 in her account
A=$800
P=$400
r=6%
t= ln(A/P)/r
t= ln(800/400)/0.06
t= ln(2)/0.06
t= 0.6931/0.06
t=11.551
Hence the time is about 11.5 years
Suppose the height of a ball in feet is given by the quadratic equation below, where T is in seconds. What expression will give the time when the ball reaches its maximum height? h=-16t^2+50t+8. Please look at the image for the available answers. Thank you.
Answer:
t = -50/(2 * (-16))
Step-by-step explanation:
For quadratics of the form
y = ax^2 + bx + c
the x coordinate of the vertex is
x = -b / 2a
----------------------
h = -16t^2 +50t + 8
a = -16
b = 50
t at Vertex
t = -50/(2 * (-16))
please help its easy but i dont remember the steps to do it
4 / 2 = 10 / m
2 = 10 / m
m = 10 / 2
m = 5
Answer:
5
Step-by-step explanation:
The ratios are equal to each other
Pls help! Pls pls pls
Answer:
38
Step-by-step explanation:
Complement means that the 2 angles add up to 90 so:
x + 52 = 90
x = 90 - 52
x = 38
In a football game, a running back had 5 carries where he gained 12 yards each time and 3 carries where he lost 6 yards each time. how many total yards did the running back have during the game?
Answer:
I think the answer is 26
Step-by-step explanation:
In the question it said how many it total so 5 + 12 + 3 + 6 = 26
I hoped this helped!
Sorry if I'm wrong
can somebody PLEASE HELP ME
i really need it thank you!
If XY is 4 m and WZ is 9 m, the exact volume of the cone is ___π square meters
Answer:
150.796π square meters
maybe!
Step-by-step explanation:
Help me QUICK
Picture included of the problem
I think it would be a and f :)
The function h is defined by
h(x)=x²-2.
Find h(2z)
Answer:
[tex]h(x) = {x}^{2} - 2 \\ h(2z) = {(2z)}^{2} - 2 \\ = 4 {z}^{2} - 2 \\ = 2( {2z}^{2} - 1)[/tex]
A person is 89-93 pounds depending on the day, 13 years old, and 5 foot tall. Is this an appropriate weight?
Answer:
I don't think so cause average in my town is 100 to 109
Answer:
I don't think so
Step-by-step explanation:
¯\_(ツ)_/ i can't tell you
Help me i just need this one
Answer:
x = 12
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of its opposite interior angles in a triangle
∠CBV is an exterior angle and ∠BCD and ∠CDB are ∠CBV's opposite interior angles
This means that ∠BCD + ∠CDB = ∠CBV
If we are given that ∠CBV = 9x - 3, ∠BCD = 5x + 15 and ∠CDB = 30
Then 9x - 3 = 5x + 15 + 30
^ (Note that we just created an equation we can use to solve
for x )
We then use the equation we created to solve for x
9x - 3 = 5x + 15 + 30
step 1 combine like terms
30 + 15 = 45
we now have 9x - 3 = 5x + 45
step 2 add 3 to each side
-3 + 3 cancels out
45 + 3 = 48
we now have 9x = 5x + 48
step 3 subtract 5x from each side
9x - 5x = 4x
5x - 5x cancels out
we now have 4x = 48
step 4 divide each side by 4
48 / 4 = 12
4x / 4 = x
we're left with x = 12
Answer:
30+5x+15=9x-3
9x-5x =45+3
4x=48
x =12
In another right angle triangle the hypotenuse is 53, and the one of the side lengths is
28. Please find the missing side length,
pleaseeee helpppppppp its due now
Answer:
find AC and BC then check multiply their slopes
Sophie caught twice as many fish as her
dad. If her dad caught Ffish, how many
fish did Sophie catch?
A. F + 2
B. F-2
C. Fx 2
D. F/2
Answer:
C. F × 2
Step-by-step explanation:
Twice as many infers multiplication. Since Sophie caught twice as many as her dad, then we would multiply the number of her dad's caught fish by 2. The question states her dad's caught fish is represented by variable F so it would be:
F × 2
fractions are equal to 12 /18 is
Answer:
2/3
Step-by-step explanation:
Answer:
2/3 = 4/6 = 6/9 = 8/12
= 10/15 = 12/18 = 14/21 = 16/24
= 18/27 = 20/30 = 22/33 = 24/36
= 26/39 = 28/42 = 30/45 = 32/48
= 34/51 = 36/54 = 38/57 = 40/60
= 42/63 = 44/66 = 46/69 = 48/72
= 50/75 = 52/78 = 54/81 = 56/84
= 58/87 = 60/90 = 62/93 = 64/96
= 66/99 = 68/102 = 70/105 = 72/108
= 74/111 = 76/114 = 78/117 = 80/120
= 82/123 = 84/126 = 86/129 = 88/132
= 90/135 = 92/138 = 94/141 = 96/144
= 98/147 = 100/150 = 102/153 = 104/156
= 106/159 = 108/162 = 110/165 = 112/168
= 114/171 = 116/174 = 118/177 = 120/180
= 122/183 = 124/186 = 126/189 = 128/192
= 130/195 = 132/198 = 134/201 = 136/204
= 138/207 = 140/210 = 142/213 = 144/216
= 146/219 = 148/222 = 150/225 = 152/228
= 154/231 = 156/234 = 158/237 = 160/240
= 162/243 = 164/246 = 166/249 = 168/252
= 170/255 = 172/258 = 174/261 = 176/264
= 178/267 = 180/270 = 182/273 = 184/276
= 186/279 = 188/282 = 190/285 = 192/288
= 194/291 = 196/294 = 198/297 = 200/300
choose ALL the of the fractions that are equivalent .
a. 4/3 = 8/6
b. 9/6 = 5/3
c. 3/2 = 9/6
d. 5/3 = 10/6
e. 4/2 = 12/6
f. 6/3 = 1/2
Answer:
a) c) d) e)
Step-by-step explanation:
a) cross-products are equal; 24 = 24
c) cross-products are equal; 18 = 18
d) cross-products are equal; 30 = 30
e) cross-products are equal; 24 = 24
Answer:
A. 4/3 = 8/6 C. 3/2 = 9/6 D. 5/3 = 10/6 E. 4/2 = 12/6
HELP ASAP
Solve the equation for x.
3x - 5x + 4 = 10 x =
PLEASE ANSWER STEP BY STEP
Answer:
X=-3
Step-by-step explanation:
3x-5x+4=10
-2x=6
x=-3
note: I wasn’t sure if the equation ended in 10 or 10x. I think it ends at 10 so that is how I solved.
9c+1 = 10
What is c?
Answer:
c=1
Step-by-step explanation:
9c+1 = 10
Subtract 1 from each side
9c+1-1=10-1
9c = 9
Divide by 9
9c/9 = 9/9
c = 1
Pls help
Will give brainliest
pleasee helppp i have 15 assignments to finish plus a final exam in 4 hours !!
f(x) = square root of (-7 + 2) - 6
f(x) =square root of (-5) - 6
f(x) = 2.236 = 2.2 - 6
f(x) = -3.8
F(x) = √x+2 -6
F(x) = √7+2 -6
F(x) = 3-6
F(x) = -3
Help!! Please NO links or I will report you also NO fake answers!! Thanks. The image is above. ¡
Answer:
second choice, 3 in³
Step-by-step explanation:
24×1/8=3 in³
A rectangle is to be drawn with perimeter 64cm. If the length is to be 14cm more than the width, determine the are of the rectangle.
Please use system of linear equations by elimination OR substitution. I need the work as well please.
P = 64 cm
2(( x + 14) + x) = 64
2x + 28 + 2x = 64
4x + 28 = 64
4x = 64 - 28
4x = 36
x = 36/4
x = 4
width = 4
lenight = 18
area = l x b
area = 18 x 4
area = 72
I think it is 40, but I need some make sure I am right
Answer:
40 is the answer I also got 40
Please help with this and find all 18 missing angles quick
20 points
Answer:
1. 128
2. 136
3. 128
4. 52
5. 44
6. 136
7. 84
8. 96
9. 96
10. 84
11. 128
12. 52
13. 44
14. 136
15. 52
16. 128
17. 136
18. 44
pLEASE I BEG OF U HELP - ill give brainliest
Answer:
123 cm²
Step-by-step explanation:
You add the sum of all the faces in the shape
Answer:
Step-by-step explanation:
8 x 9= 72…. 3 x 8= 24…. 3 x 9= 27…. 72 x 2= 144…. 24 x 2= 48…. 27 x 2= 54… 144 + 48+ 54 = 246.
therefor Your answer is 246 cm2
please show your work
Answer:
52
Step-by-step explanation:
If JK bisects the angle, the two angles are equal
6x+2 = 8x-6
Subtract 6x from each side
6x-6x+2 = 8x-6x-6
2 = 2x-6
Add 6 to each side
2+6 =2x-6+6
8 =2x
Divide by 2
8/2 =2x/2
4 =x
Now find angle LJM, which is the sum of the two angles
6x+2 + 8x-6
14x -4
14*4-4
56-4
52
Answer:
D) 52
Step-by-step explanation:
since htere is an angle bisector that means that (6x+2) and (8x-6) are equal to each other
so
(6x+2)=(8x-6)
-6x -6x
2=2x-6
+6 +6
8=2x
/2 /2
x=4
no you plug x back into one of the equations so
6(4)+2=26
now 26x2=52
the diagram below shows the path a bird flies from the top of a 9.5 foot tall sunflower to a point on the ground 5 feet from the base of the sunflower. to the nearest tenth of a degree what is the measure of angle x?
Answer:
Step-by-step explanation:
अब पछताए होत कया जब चिडिया चुग गई खेत अनुचछेद लिखिए
Step-by-step explanation:
Go to the Indian Brainly.
I am Indian.
George has to pay $30 in taxes for every $100 that he earns. Last summer, he earned $3680. How much did he pay in taxes?(must use direct proportion) pleaseee help
Answer:
$1,140
Step-by-step explanation:
Step 1: Set up a fraction and solve (We are doing this to make it simpler to solve. So let us use "x" to represent how much he paid in taxes. )
[tex]\frac{30}{100}=\frac{x}{3680}[/tex]
Step 2: Solve; Divide the given values (The given values are 100 over 30. We are doing this because we need to know the difference between those two figures.) (Trick: For this case, all you need to do is cancel both zeros and the answer is 0.3 once divided)
[tex]\frac{30}{100}[/tex]
Cancel both zeros
[tex]\frac{30}{100}\\\\= \frac{3}{10}[/tex]
Divide
[tex]\frac{3}{10}\\\\= 3 \div 10\\\\= 0.3[/tex]
Step 3: Multiply the result to the last value (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)
[tex]0.3\\\\0.3 \times 3680\\\\=1140[/tex]
Therefore, George paid 1140 dollars in taxes last summer.
Find the area of the triangle
Answer:
12 units2
Step-by-step explanation:
(6x4) /2 =12
A sunflower grew 7 yards during the first week after it was planted. What is the height of the total sunflower in feet?
Answer:
21 feet
Step-by-step explanation:
Remember to get feet to yards, multiply the feet by 3 because there are 3 feet in one yard
in this case 7 × 3 = 21
And additionally to get yards to feet, divide by three because 1 yard = 3 feet
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