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2 years ago

14-8711

Mathematics

1 answer:

Norma-Jean [14]2 years ago

8 0

Answer:

$4,208.5

Step-by-step explanation:

The simple interest rate of the college savings account, R = 5.5%

The amount with which the account was opened, P = $500

The amount added each month to her account = $50

The amount in her account after 4 years = Required

The interest on each added $50 is given as follows;

50 × 0.055/12 × (1 + 2 + 3 + ... + 47) = 50 × 0.055/12 × (47/2)(1 + 47) = 258.5

The total amount deposited = 500 + 50 × 47 = $2,850

The total interest = 500×0.55×4 + 50 × 0.055/12 × (47/2)(1 + 47) = 1,358.5

The amount in her account at the end of 4 years, <em>A</em>, is given as follows

A = $2,850 + $1,358.5 = $4,208.5

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Walking100

vredina [299]

Complete question :

The Venn diagram relating to the question can be found in the picture attached below :

Answer:

A.) 15 ; b.) 17 ; c.) 20 ; d.) 19 ; e.) 55 ; 67; 76 ;100 ; F.) 369

Step-by-step explanation:

Let :

Cars = C ; Motorcycle = M ; Tricycle = T ; Walking = W

a) How many students ride in a tricycle, motorcycle and car going to their school

Intersection of the 3 modes;

(C n M n T) = 15 ; it is the number which sits in between all the three circles.

B.) How many students ride in both a motorcycle and a tricycle?

(M n T) = 17 ; number in the middle of both circles representing motorcycle and tricycle

C.) How many students ride in both a motorcycle and a car?

(M n C) = 20 ; number in the middle of both circles representing motorcycle and Car

D) How many students ride in both a car and tricycle?

(C n T) = 19 ; number in the middle of both circles representing Car and tricycle

e.)How many students go to school

in a car only = 55

in a motorcycle only = 67

Tricycle only = 76

Walking = 100

F.) How many Grade Seven students of Koronadal National Comprehensive High School are there in all?

(100 + 67 + 76 + 55 + 19 + 20 + 17 + 15) = 369

5 0

3 years ago

While visiting Wallawulla State Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa

katen-ka-za [31]

Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135 - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

4 0

3 years ago

Suppose f(x) = 3x2 – 2x: Find f(-4). А B -40 ОО C 56<br>plz helpp

amid [387]

Answer:

f(-4) = 56

Step-by-step explanation:

f(x) = 3x² - 2x

To find f(-4), substitute -4 for all the values of x in f(x).

f(-4) = 3(-4)² - 2(-4)

Square -4.

f(-4) = 3(16) - 2(-4)

Multiply 3 and 16.

f(-4) = 48 - 2(-4)

Multiply -2 and -4.

48 + 8

Add.

You had the right idea! :)

7 0

3 years ago

Find the median. 90, 88, 100, 82, 80.<br> PLEASE

Ludmilka [50]

Answer:

Step-by-step explanation:

80, 82, 88, 90, 100

Now cross out the numbers starting with 80 and 100 and keep going till you get the middle number which would be 88

5 0

3 years ago

Read 2 more answers

Find the missing length indicated. Leave your answer in simplest radical form.

musickatia [10]

Answer:

1). x = 81

2). x = 84

Step-by-step explanation:

1). By applying geometric mean theorem in the given triangle,

$\frac{x}{18\sqrt{14}}= \frac{18\sqrt{14}}{56}$

56x = (18√14)²

56x = 4536

x = $\frac{4536}{56}$

x = 81

2). By applying geometric mean theorem,

$\frac{x}{8\sqrt{21}}= \frac{8\sqrt{21} }{16}$

16x = (8√21)²

16x = 1344

x = $\frac{1344}{16}$

x = 84

6 0

2 years ago