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2 years ago

Mei Mei invested $1700 in an account that pays 3% interest compounded annually.

Mathematics

1 answer:

algol [13]2 years ago

4 0

Answer:

$2728

Step-by-step explanation:

Use compound interest formula:

$A = P(1 + \frac{r}{n})^{nt}$

P = 1700, r = 0.03, n = 1, t = 16

Plug in numbers:

$A = 1700(1 + \frac{0.03}{1})^{(1)(16)}$

Simplify:

$A = 1700(1.3)^{16$

Use calculator:

$A = 2728$

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HELP PLEASE!!! :( I REALLY NEED HELP ASAP!! Thank you and stay safe!

Mkey [24]

Answer:

a = 6, b = -2, c = 3

Step-by-step explanation:

6x² - 2x + 3 = 0

a = 6, b = -2, c = 3

6 0

3 years ago

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Find 3 solutions to the equation y = −4x −1

agasfer [191]

Answer:

(0,-1)

(1,-5)

(2,-9)

Step-by-step explanation:

y = −4x −1

Let x=0

y = 0-1 = -1 (0,-1)

Let x = 1

y = -4(1) -1 = -4-1 =-5 (1,-5)

Let x = 2

y = -4(2) -1 = -8-1 =-9 (2,-9)

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3 years ago

| 9. The distance between Town A and Town B was 108 km. A car and a van left Town A at 12 00 for Town B. On reaching Town B, the

Westkost [7]

Answer:

a) Time until both vehicles meet is 1.5 hours after starting at noon. That makes it 1:30PM.

b) Average speed of car is 84 km/h

Step-by-step explanation:

A -----------------------z------------B

Left Speed(km/h) Time

Car: 12PM X

Van: 12PM 60

Car/Van

DistanceCar AB + z

DistanceVan Az

Ratio: (AB+z)/Az = 7/5

Time until both meet = T (in hours)

Distance Car: xT

Distance Van: 60T

====

xT = AB + z

60T = Az

---

(xT/60T)= (7/5)

x = 60(7/5)

x = 84 km/h

=====

Time for car to reach B is: time (hr) = 108 km/(84 km/h)

time = 1.286 hours

Distance for at 1.289 hours is: distance (km) = (60 km/h)*(1.286 h)

distance = 77.14 km

At 1.286 hours, the car reverses direction. The van is (108 km - 77.14 km) or 30.86 km away.

Add the distances travelled by both vehicles after the car reverses direction at 1.286 hours. The sum will be 30.86 km when they meet, at time of T.

Car Distance + Van Distance = 30.86 km

T(84 km/h) + t(60 km)

They meet when they are 0 km apart, which can be modeled with the following equation:

Van travel Distance - Car Travel Distance = 0 starting at 1.286 hr.

Let t be the time after 1.286 hours that both vehicles meet/collide.

t*(60 km/h) + t(84 km/h) = 30.86 km

t(60+84) = 30.86 km

t(144 km/h) = 30.86 km

t = 0.2143 hr

Total time until the car and van meet is 1.286 hr + 0.2143 hr for a total of 1.50 hours.

=================

a) Time until both vehicles meet is 1.5 hours after starting at noon. That makes it 1:30PM.

b) Average speed of car is 84 km/h

==============

CHECK

Is the ratio of the distance travelled by the car and the van until they meet in the ratio of 7/5?

Car distance is (1.5 hr)(84 km/h) = 126 km

Van distance is (1.5 hr)(60 km/h) = 90.0 km

Ratio is 126/90 or 1.4

Ratio of 7/5 is 1.4

YES

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2 years ago

Help me plz i dont understand how t=40

timama [110]

Answer:

t=40

Step-by-step explanation:

The sum of all angles in a triangle will always equal 180°. This means that:

(2t-42)+(4t-49)+(2t-49) = 180°

Let's solve this equation!

(2t-42)+(4t-49)+(2t-49) = 180

First we simplify what's on the left side:

2t-42+4t-49+2t-49 = 180

2t+4t+2t-42-49-49 = 180

8t-140 = 180

*Add 140 to both sides

8t = 180+140

8t = 320

Divide both sides by 8 to know what t means:

t = 320/8

t = 40

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3 years ago

Which expression is equivalent to the one below? 6 ÷ 5 A 6:1/5 B 5:1/6 C 5/6 D 30

vlada-n [284]

Answer:

option A

Step-by-step explanation:

6:1/5 can also be written as 6/1÷5 which equals to 6÷5

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3 years ago

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