Answer:
12.8mph
Step-by-step explanation:
Let 'w' represent her walking speed
->if her jogging speed is 8mph faster than her walking speed
Jogging speed= w+8
Using the time equation i.e time = dist/speed
For walking when distance is 8miles
time = dist / speed= 8/w hrs
For jogging when distance is 13miles
time = dist / speed= 13/(w+8) hrs
Equating the time
jog time = walk time
13/(w+8) = 8/w
By cross multiplying it
13w = 8w + 64
5w = 64
w=64/5
w=12.8mph
Therefore, 12.8mph is her walking speed.
Answer:
$341.07
Step-by-step explanation:
Hanna and Dawson both invested at 3.2% = 0.032
Hannah has balance of 31,000 in account
Dawson has balance of 42000 in account
Interests earned by both are
1)Hannah -P(1+i)^-n
=31000(1+0.032)^-1
=31000(1.032)^-1
=31000(0.968992)
=$30038.752
=$30038.75
Interest earned by Dawson is $31,000 - $30038.75 = $961.25
2)Dawson- P(1+i)^-n
=42000(1+0.032)^-1
=42000(1.032)^-1
=42000(0.968992)
=$40697.664
=$$40697.664
Interest earned by Dawson is $42,000 - $40697.66= $1302.32
3) Hence the amount that Dawson earns than is:
=$1302.32-$961.25
= $341.07
Answer:
Step-by-step explanation:
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We know that
<span>1. The number of all 4-letter words written using the alphabet of 20 symbols (from A to T) is
20</span><span>^4=160,000
</span><span>
2. The number of all 4-letter words written using the alphabet of 19 symbols (from B to T) is
19</span><span>^4=130,321
</span><span>
3. The difference represents exactly the number of all words of the inhabitants of the island of Jumble
difference=</span>(160,000-130,321)= 29679.
the answer is
29679
