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3 years ago

IIULIVUT

Mathematics

1 answer:

Vladimir [108]3 years ago

3 0

Given:

Investment (P) = $10000

Rate of interest (R) = 3.5%

Time (T) = 7 years

To find:

Amount in the account after 7 years

Solution:

Simple interest formula:

$$I=\frac{PRT}{100}$

$$I=\frac{10000\times3.5\times7}{100}$

$I= 2450$

Simple interest = $2450

Amount = Investment + Interest

= 10000 + 2450

= 12450

Therefore $12,450 will be in the account after 7 years.

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Mr. Ruchard owns an orchard that has a rectangular fence the orchard is 36 yards long and 18 yards wide if ge walks across the d

saw5 [17]

Answer:

the square root of 1620

Step-by-step explanation:

1. x^2=18^2+36^2

2. x^2=324+1296

3. x^2=1620

4. x= The square root of 1620

6 0

2 years ago

Name the transformations of the next equation y=3(x+6) - 5

klemol [59]

Answer:

vertical stretch

Step-by-step explanation:

8 0

2 years ago

Determine the ratio in which the point (–6, m) divides the join of A(–3, –1) and B(–8, 9). Also, find the value of m.

PSYCHO15rus [73]

Answer:

Ratio = 3 : 2 and value of m = 5.

Step-by-step explanation:

We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.

Let us assume that it cuts the line in k : 1 ratio.

Then, the co-ordinates of P = $( \frac{-8k-3}{k+1},\frac{9k-1}{k+1} )$ .

But, $\frac{-8k-3}{k+1}$ = -6

i.e. -8k-3 = -6k-6

i.e. -2k = -3

i.e. $k = \frac{3}{2}$

So, the ratio is k : 1 i.e $\frac{3}{2} : 1$ i.e. 3 : 2.

Hence, the ratio in which P divides the line is 3 : 2.

Also, $\frac{9k-1}{k+1}$ = m where $k = \frac{3}{2}$

i.e. m = $\frac{\frac{9 \times 3}{2}-1}{\frac{3}{2}-1}$

i.e. m = $\frac{27-2}{3+2}$

i.e. m = $\frac{25}{5}$

i.e. m = 5.

Hence, the value of m is 5.

4 0

2 years ago

Read 2 more answers

H(x)=2x3 – 3<br> Find h(2)

djverab [1.8K]

When it tells you to find h(2), that means you plug in 2 for x.
If 2x^3 (to the third power)
2(2)^3-3

1. PEMDAS, exponents first
2^3=8

2. multiply
8x2=16

3. subtract
16-3=13

Hope this helps!

8 0

2 years ago

Yellowstone Lake, in Wyoming, is the largest high-altitude lake in North America, measuring 20 miles long and 14 miles wide. How

agasfer [191]

Answer:

6.67in long and 4.67in wide

Step-by-step explanation:

Given the amp of the scale 1 inch = 3 mi?

If the measured length is 20miles

Let x be the dimension of the length on the map

1 inch = 3 mi?

x = 20miles

3x = 20

x = 20/3

x = 6.67in

For the width,

Width =14miles

Let y be the dimension of the width on the map

1 inch = 3 mi

y = 14miles

3y = 14

y = 14/3

y = 4.67in

Hence the Yellowstone Lake appears 6.67in long and 4.67in wide on the Map

7 0

3 years ago