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3 years ago

Solve for x. Round to the nearesr tenth of a degree if necessary.

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

7 0

Answer:

im not sure but i got 30.1

Step-by-step explanation:

$\cos(x) = \frac{45}{52} \\ x = 30.1$

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Please Help !!Mr. Mudd gives each of his children $2000 to invest as part of a friendly family competition. The competition will

VikaD [51]

Answer:

Albert = $2159.07; Marie = $2244.99; Hans = $2188.35; Max = $2147.40

Marie is $10 000 richer

Step-by-step explanation:

Albert

(a) $1000 at 1.2 % compounded monthly

$A = P\left(1 + \dfrac{r}{n}\right)^{nt}$

A = 1000(1 + 0.001)¹²⁰ = $1127.43

(b) $500 losing 2%

0.98 × 500 = $490

(c) $500 compounded continuously at 0.8%

$\begin{array}{rcl}A & = & Pe^{rt}\\& = & 500e^{0.008 \times 10}\\& = &\mathbf{\$541.64}\\\end{array}\\$

(d) Balance

Total = 1127.43 + 490.00+ 541.64 = $2159.07

Marie

(a) 1500 at 1.4 % compounded quarterly

A = 1500(1 + 0.0035)⁴⁰ = $1724.99

(b) $500 gaining 4 %

1.04 × 500 = $520.00

(c) Balance

Total = 1724.99 + 520.00 = $2244.99

Hans

$2000 compounded continuously at 0.9 %

$\begin{array}{rcl}A& = &2000e^{0.009 \times 10}\\& = &\mathbf{\$2188.35}\\\end{array}\\$

Max

(a) $1000 decreasing exponentially at 0.5 % annually

A = 1000(1 - 0.005)¹⁰= $951.11

(b) $1000 at 1.8 % compounded biannually

A = 1000(1 + 0.009)²⁰ = $1196.29

(c) Balance

Total = 951.11 + 1196.29 = $2147.40

Marie is $ 10 000 richer at the end of the competition.

7 0

3 years ago

Can someone say what 45-49 is with regrouping? thanks!

muminat

Answer:

it's -4 i don't know what you mean by regrouping, sorry

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A boy leaves on a bicycle trip at the rate of 8 mph. One hour later the father, realizing that his son forgot his camping

KatRina [158]

Answer:

40 mph

Step-by-step explanation:

One hour includes 60 minutes

8/60=0.13(3 repeating)

You only need 15 minutes of time

0.13(3 repeating)*15=2

8+2=10 miles

15 minutes is 1/4 of an hour

10*4=40 mph

6 0

3 years ago

A ball is shot into the air using a brand new super-high-tech robotic arm to help baseball players practice catch fly balls.

stepladder [879]

Answer:

69 feet

Step-by-step explanation:

we have

$h(t)=-16t^{2}+64t+5$

where

h(t) is the height of the ball

t is the time in seconds

we know that the given equation is a vertical parabola open downward

The vertex is the maximum

the y-coordinate of the vertex represent the maximum height of the ball

Convert the quadratic equation into vertex form

The equation in vertex form is equal to

$y=(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

$h(t)=-16t^{2}+64t+5$

$h(t)-5=-16t^{2}+64t$

$h(t)-5=-16(t^{2}-4t)$

$h(t)-5-64=-16(t^{2}-4t+4)$

$h(t)-69=-16(t^{2}-4t+4)$

$h(t)-69=-16(t-2)^{2}$

$h(t)=-16(t-2)^{2}+69$

the vertex is the point (2,69)

therefore

The maximum height is 69 ft

6 0

3 years ago

4x + x - 3-9 + 4x = 6 ??

Nookie1986 [14]

Answer:

$x=2$

Step-by-step explanation:

-------------------------

Given:

$4x+x-3-9+4x=6$

---------->>>>

Combine like terms.

$9x-12=6$

---------->>>>

Add 12 to both sides.

$9x=18$

---------->>>>

Divide both sides by 9.

$x=2$

-------------------------

Hope this is helpful.

8 0

3 years ago