Pam deposited $890 in a savings account, with three percent simple interest. How much interest will she earn in five years? 1.) 26.70
2.) 133.50
3.) 103.30
4.) 96.33

Answers

Answer 1

Answer: The answer is option 2. Pam will earn an interest of $133.50 from his savings account of $890 with an interest of 3%. Simple interest, also known as flat rate interest, is an interest to be paid or earned each year having a fixed percentage from a principal amount. It is calculated as follows:
$890 x .03 x 5 = $133.50

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You invested $1,200 in a mutual fund. Your account now has a value of $1,333. what was your gain?

Helloooo any help :( ?

Answers

Answer:

1/2p+2=3 1/2

Step-by-step explanation:

Answer:

$\frac12p+2 = 3\frac12$

Step-by-step explanation:

The time he spends is the sum of the mandatory 2 hours and p times the half hour per puzzle. It has to end up to 3 1/2, so that's how you get the equation.

Of course, you can solve it as

$p = (1\frac12)/(\frac12) = 3$

If T(n) = 6n + 2 what is the 3rd term

Answers

To find the 3rd term, just replace the 'n' with 3.

Therefore:

t(3) = 6(3) + 2
t(3) = 18 + 2
t(3) = 20.

The 3rd term is 20.

T(n)=6n+2 T3=6(3)+2 T3=20

Karla is riding vertically in a hot air balloon, directly over a point P on the ground. Karla spots a parked car on the ground at an angle of depression of 30o. The balloon rises 50 meters. Now the angle of depression to the car is 35 degrees. How far is the car from point P?

Answers

Answer:

407 m

Step-by-step explanation:

Refer the attached figure

Karla spots a parked car on the ground at an angle of depression of 30° i.e. ∠BDP = 30°

Now the balloon rises 50 meters.i.e. AB = 50 m

So, the angle of depression to the car is 35 degrees. i.e.∠ADP = 35°

Let DP be the distance of the car prom point P

Let BP be x

In ΔBDP

$Tan\theta = (Perpendicular)/(Base)$

$Tan 30^(\circ) = (BP)/(DP)$

$(1)/(√(3))= (x)/(DP)$

$DP= (x)/((1)/(√(3)))$ --1

In ΔADP

$Tan\theta = (Perpendicular)/(Base)$

$Tan 35^(\circ) = (AP)/(DP)$

$0.70020= (50+x)/(DP)$

$DP= (50+x)/(0.70020)$ --2

So, equating 1 and 2

$(50+x)/(0.70020) = (x)/((1)/(√(3)))$

$(50+x)/(x) = (0.70020)/((1)/(√(3)))$

$(50+x)/(x) =1.21278$

$50+x =1.21278x$

$50 =1.21278x-x$

$50 =0.21278x$

$(50)/(0.21278)=x$

$x=234.982$

Substitute the value of x in 1

$DP= (234.982)/((1)/(√(3)))$

$DP= 407.0007$

Hence the car is at a distance of approximately 407 m from point P

We form 2 similar rt. triangles:

Triangle #1.
X = Hor. side = dist. from P to the car.
Yi = Ver. side.
A = 30o.

Triangle #2.
X = Hor. side = Dist. from P to the car.
Y2 = Y1+50 = Ver. side.
A = 35o.

Use aw of Sines.
sin30/Y1 = sin35/(Y1+50).
Cross multiply:
(Y1+50)sin30 = Y1*sin35
Y1/2+25 = 0.574Y1
Multiply both sides by 2:
Y1+50 = 1.148Y1
1.148Y1-Y1 = 50
0.148Y1 = 50
Y1 = 337.8 m.

tan30 = Y1/X = 337.8/X
X = 337.8/tan30 = 585 m. 714 feet away hope that helps if not tell me.

Look at triangle ABC. What is the Length of the side AB of the triangle? A. 2 B. Squ. Root 20 C. 6 Squ. Root 38

Answers

Answer:

√20units

OptionBistherightoption

solution,

A(4,5)------->(X1,x2)

B(2,1)-------->(y1,y2)

Now,

$ab = \sqrt{ {(x2 - x1)}^(2) + {(y2 - y1)}^(2) } \n \: \: \: = \sqrt{ {(2 - 4)}^(2) + {(1 - 5)}^(2) } \n \: \: = \sqrt{ {( - 2)}^(2) + {( - 4)}^(2) } \n \: \: = √(4 + 16) \n \: \: \ = √(20)$