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2 years ago

Miguel deposits $5000 in an account

1 answer:

5 0

Then the amount of money will he have in his account after 10 years will be $7,454.16. Then the correct option is B.

<h3>What is compound interest?</h3>

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

Miguel deposits $5000 in an account earning 4% interest compounded monthly.

Then the amount of money will he have in his account after 10 years will be

We know the compound interest formula.

$A = P (1 + r)^t$

Where

A = amount

P = principal

r = rate of interest

t = time period (in year)

Then we have

$\rm A = 5000 (1 + 0.04)^{10}\\\\A = 5000 (1.04)^{10}\\\\A = \$ \ 7454.16$

More about the compound interest link is given below.

brainly.com/question/25857212

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A motorboat takes 3 hours to take a 60 mile trip downstream. It takes 5 hours to make the same trip upstream. Let x represent th

Leni [432]

THE RATE OF THE BOAT BELOW IS 5: 100

5 0

3 years ago

Round each factor to the nearest ten to estimate the product of 34 . 39

aev [14]

Answer:

Round 34 down to 30 then round 39 up to 40

Step-by-step explanation:

34 ⟶ 30 34 is rounded down to 30

39 ⟶ 40 39 rounded up to 40

34 ⟶ 30

39 ⟶ 40

34 is rounded down to 30

39 rounded up to 40

Calculate mentally 34 × 39 = 1326

The estimated product is 1326.

3 0

3 years ago

What is the answer of -32/40 + -35/40 ?

Alex787 [66]

-32/40 + -35/40 = -32+-35/40
= -67/40
= -1.675

The answer would then be -1.675.

3 0

4 years ago

Find the exact value of the trigonometric expression given that sin u = − 8 17 and cos v = − 24 25 . (Both u and v are in Quadra

Rashid [163]

Answer: sin u = -5/13 and cos v = -15/17

Step-by-step explanation:

The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.

So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),

==> adj of u = -12 therefore cos u = -12/13

Same argument for v: adj = -15,

opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17

The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)

I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.

3 0

3 years ago

1+sec^2xsin^2x=sec^2x

Sholpan [36]

1 + sec^2(x)sin^2(x) = sec^2(x)
This becomes
1+tan^2(x) = sec^2(x) which is an identity
You could
1 + sin^2(x)/cos^2(x) = sec^2(x)
then
cos^2(x) + sin^2(x) = cos^2(x)sec^2(x)
1 = 1

4 0

3 years ago

Read 2 more answers